Dr Dmitry Pelinovsky

All Stories

Ground state of the Gross–Pitaevskii equation with a harmonic potential in the energy-critical case

Article • Asymptotic Analysis, August 2024, IOS Press

Dr Dmitry Pelinovsky
On the impossibility of solitary Rossby waves in meridionally unbounded domains

Article • Physics of Fluids, November 2018, American Institute of Physics

Dr Dmitry Pelinovsky
Normal form for transverse instability of the line soliton with a nearly critical speed of propagation

Article • Mathematical Modelling of Natural Phenomena, January 2018, EDP Sciences

Dr Dmitry Pelinovsky
Orbital stability in the cubic defocusing NLS equation: II. The black soliton

Article • Journal of Differential Equations, May 2015, Elsevier

Dr Dmitry Pelinovsky
Orbital stability in the cubic defocusing NLS equation: I. Cnoidal periodic waves

Article • Journal of Differential Equations, May 2015, Elsevier

Dr Dmitry Pelinovsky
Persistence of the Thomas–Fermi approximation for ground states of the Gross–Pitaevskii equation supported by the nonlinear confinement

Article • Applied Mathematics Letters, February 2015, Elsevier

Dr Dmitry Pelinovsky
On numerical modelling and the blow-up behavior of contact lines with a $$\mathbf{180}^{\varvec{\circ }}$$ 180 ∘ contact angle

Article • Journal of Engineering Mathematics, January 2015, Springer Science + Business Media

Dr Dmitry Pelinovsky
On the orbital stability of Gaussian solitary waves in the log-KdV equation

Article • Nonlinearity, November 2014, Institute of Physics Publishing

Dr Dmitry Pelinovsky
On the Thomas-Fermi Approximation of the Ground State in a PT-Symmetric Confining Potential

Article • Studies in Applied Mathematics, September 2014, Wiley

Dr Dmitry Pelinovsky
Domain Walls in the Coupled Gross–Pitaevskii Equations

Article • Archive for Rational Mechanics and Analysis, September 2014, Springer Science + Business Media

Dr Dmitry Pelinovsky
Stability of multi-solitons in the cubic NLS equation

Article • Journal of Hyperbolic Differential Equations, June 2014, World Scientific Pub Co Pte Lt

Dr Dmitry Pelinovsky
Short-wave transverse instabilities of line solitons of the two-dimensional hyperbolic nonlinear Schrödinger equation

Article • Theoretical and Mathematical Physics, April 2014, Springer Science + Business Media

Dr Dmitry Pelinovsky
Validity of the Weakly Nonlinear Solution of the Cauchy Problem for the Boussinesq‐Type Equation

Article • Studies in Applied Mathematics, March 2014, Wiley

Dr Dmitry Pelinovsky
Nonlinear modes in a generalized $\mathcal{PT}$-symmetric discrete nonlinear Schrödinger equation

Article • Journal of Physics A Mathematical and Theoretical, February 2014, Institute of Physics Publishing

Dr Dmitry Pelinovsky
Wave Systems with an Infinite Number of Localized Traveling Waves

Article • Physical Review Letters, February 2014, American Physical Society (APS)

Dr Dmitry Pelinovsky
Justification of the log--KdV Equation in Granular Chains: The Case of Precompression

Article • SIAM Journal on Mathematical Analysis, January 2014, Society for Industrial & Applied Mathematics (SIAM)

Dr Dmitry Pelinovsky
The asymptotic stability of solitons in the cubic NLS equation on the line

Article • Applicable Analysis, December 2013, Taylor & Francis

Dr Dmitry Pelinovsky
Nonlinear Physical Systems

Article • November 2013, Wiley

Dr Oleg N Kirillov, Dr Dmitry Pelinovsky
Spectral Stability of Nonlinear Waves in KdV‐Type Evolution Equations

Article • November 2013, Wiley

Dr Dmitry Pelinovsky
Stability of Discrete Breathers in Magnetic Metamaterials

Article • October 2013, Springer Science + Business Media

Dr Dmitry Pelinovsky
Universal power law for the energy spectrum of breaking Riemann waves

Article • JETP Letters, October 2013, Pleiades Publishing Ltd

Dr Dmitry Pelinovsky
Orbital Stability of Dirac Solitons

Article • Letters in Mathematical Physics, August 2013, Springer Science + Business Media

Dr Dmitry Pelinovsky
Nonlinear dynamics in PT-symmetric lattices

Article • Journal of Physics A Mathematical and Theoretical, August 2013, Institute of Physics Publishing

Dr Dmitry Pelinovsky
Global existence of small-norm solutions in the reduced Ostrovsky equation

Article • Discrete and Continuous Dynamical Systems, August 2013, American Institute of Mathematical Sciences (AIMS)

Dr Dmitry Pelinovsky, Professor Roger H J Grimshaw
Nonlinear Stationary States in PT-Symmetric Lattices

Article • SIAM Journal on Applied Dynamical Systems, July 2013, Society for Industrial & Applied Mathematics (SIAM)

Dr Dmitry Pelinovsky
On transverse stability of discrete line solitons

Article • Physica D Nonlinear Phenomena, July 2013, Elsevier

Dr Dmitry Pelinovsky
Matter-Wave Bright Solitons in Spin-Orbit Coupled Bose-Einstein Condensates

Article • Physical Review Letters, June 2013, American Physical Society (APS)

Dr Dmitry Pelinovsky
Justification of a nonlinear Schrödinger model for laser beams in photopolymers

Article • Zeitschrift für angewandte Mathematik und Physik, May 2013, Springer Science + Business Media

Dr Dmitry Pelinovsky
Periodic Traveling Waves in Diatomic Granular Chains

Article • Journal of Nonlinear Science, February 2013, Springer Science + Business Media

Dr Dmitry Pelinovsky
Lattice Differential Equations

Article • Oberwolfach Reports, January 2013, European Mathematical Publishing House

Dr Dmitry Pelinovsky
\chem{\mathcal {P}\mathcal {T}} -symmetric lattices with spatially extended gain/loss are generically unstable

Article • EPL (Europhysics Letters), January 2013, Institute of Physics Publishing

Dr Dmitry Pelinovsky
Multilevel computations of dispersed drug release

Article • Numerical Methods for Partial Differential Equations, December 2012, Wiley

Dr Dmitry Pelinovsky
Discrete solitons in \chem {\cal PT} -symmetric lattices

Article • EPL (Europhysics Letters), December 2012, Institute of Physics Publishing

Dr Dmitry Pelinovsky
Rigorous justification of the short-pulse equation

Article • Nonlinear Differential Equations and Applications NoDEA, November 2012, Springer Science + Business Media

Dr Dmitry Pelinovsky
Multi-site breathers in Klein–Gordon lattices: stability, resonances and bifurcations

Article • Nonlinearity, November 2012, Institute of Physics Publishing

Dr Dmitry Pelinovsky
Normal form for the symmetry-breaking bifurcation in the nonlinear Schrödinger equation

Article • Journal of Differential Equations, November 2012, Elsevier

Dr Dmitry Pelinovsky
Bifurcations of Asymmetric Vortices in Symmetric Harmonic Traps

Article • Applied Mathematics Research eXpress, October 2012, Oxford University Press (OUP)

Dr Dmitry Pelinovsky
Sharp bounds on enstrophy growth in the viscous Burgers equation

Article • Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences, July 2012, Royal Society Publishing

Dr Dmitry Pelinovsky
Asymptotic stability of small gap solitons in nonlinear Dirac equations

Article • Journal of Mathematical Physics, July 2012, American Institute of Physics

Dr Dmitry Pelinovsky
Vortex families near a spectral edge in the Gross-Pitaevskii equation with a two-dimensional periodic potential

Article • Physical Review E, February 2012, American Physical Society (APS)

Dr Dmitry Pelinovsky
Preface

Article • Discrete and Continuous Dynamical Systems - S, January 2012, American Institute of Mathematical Sciences (AIMS)

Dr Dmitry Pelinovsky
Enstrophy growth in the viscous Burgers equation

Article • Dynamics of Partial Differential Equations, January 2012, International Press of Boston

Dr Dmitry Pelinovsky
Breather continuation from infinity in nonlinear oscillator chains

Article • Discrete and Continuous Dynamical Systems, January 2012, American Institute of Mathematical Sciences (AIMS)

Dr Dmitry Pelinovsky
On the validity of the variational approximation in discrete nonlinear Schrödinger equations

Article • Physica D Nonlinear Phenomena, January 2012, Elsevier

Dr Dmitry Pelinovsky
On the asymptotic stability of localized modes in the discrete nonlinear Schrödinger equation

Article • Discrete and Continuous Dynamical Systems - S, January 2012, American Institute of Mathematical Sciences (AIMS)

Dr Dmitry Pelinovsky
Polychromatic Solitary Waves in a Periodic and Nonlinear Maxwell System

Article • SIAM Journal on Applied Dynamical Systems, January 2012, Society for Industrial & Applied Mathematics (SIAM)

Dr Dmitry Pelinovsky
Paradoxical transitions to instabilities in hydromagnetic Couette-Taylor flows

Article • Physical Review E, December 2011, American Physical Society (APS)

Dr Oleg N Kirillov, Dr Dmitry Pelinovsky
Symmetry-Breaking Bifurcation in the Nonlinear Schrödinger Equation with Symmetric Potentials

Article • Communications in Mathematical Physics, October 2011, Springer Science + Business Media

Dr Dmitry Pelinovsky
Loops of Energy Bands for Bloch Waves in Optical Lattices

Article • Studies in Applied Mathematics, October 2011, Wiley

Dr Dmitry Pelinovsky
Propagation failure in the discrete Nagumo equation

Article • Proceedings of the American Mathematical Society, October 2011, American Mathematical Society (AMS)

Dr Dmitry Pelinovsky
Regularized shock solutions in coating flows with small surface tension

Article • Physics of Fluids, September 2011, American Institute of Physics

Dr Dmitry Pelinovsky
Backlund Transformation and L2-stability of NLS Solitons

Article • International Mathematics Research Notices, June 2011, Oxford University Press (OUP)

Dr Dmitry Pelinovsky
Convergence of the Adomian decomposition method for initial-value problems

Article • Numerical Methods for Partial Differential Equations, April 2011, Wiley

Dr Dmitry Pelinovsky
Variational approximations of trapped vortices in the large-density limit

Article • Nonlinearity, March 2011, Institute of Physics Publishing

Dr Dmitry Pelinovsky
Internal modes of discrete solitons near the anti-continuum limit of the dNLS equation

Article • Physica D Nonlinear Phenomena, February 2011, Elsevier

Dr Dmitry Pelinovsky
Traveling Monotonic Fronts in the Discrete Nagumo Equation

Article • Journal of Dynamics and Differential Equations, December 2010, Springer Science + Business Media

Dr Dmitry Pelinovsky
Homogenization of the variable-speed wave equation

Article • Wave Motion, December 2010, Elsevier

Dr Dmitry Pelinovsky, Professor Roger H J Grimshaw
Effects of rotation on stability of viscous stationary flows on a spherical surface

Article • Physics of Fluids, December 2010, American Institute of Physics

Dr Dmitry Pelinovsky
Variational approximations of bifurcations of asymmetric solitons in cubic-quintic nonlinear Schrödinger lattices

Article • Discrete and Continuous Dynamical Systems - S, December 2010, American Institute of Mathematical Sciences (AIMS)

Dr Dmitry Pelinovsky
Asymptotic properties of excited states in the Thomas–Fermi limit

Article • Nonlinear Analysis, October 2010, Elsevier

Dr Dmitry Pelinovsky
Bifurcation of gap solitons in periodic potentials with a periodic sign-varying nonlinearity coefficient

Article • Applicable Analysis, September 2010, Taylor & Francis

Dr Dmitry Pelinovsky
Excited states in the large density limit: a variational approach

Article • Nonlinearity, June 2010, Institute of Physics Publishing

Dr Dmitry Pelinovsky
Count of eigenvalues in the generalized eigenvalue problem

Article • Journal of Mathematical Physics, May 2010, American Institute of Physics

Dr Dmitry Pelinovsky
Global Well-Posedness of the Short-Pulse and Sine–Gordon Equations in Energy Space

Article • Communications in Partial Differential Equations, March 2010, Taylor & Francis

Dr Dmitry Pelinovsky
Distribution of eigenfrequencies for oscillations of the ground state in the Thomas-Fermi limit

Article • Physical Review A, February 2010, American Physical Society (APS)

Dr Dmitry Pelinovsky
Bounds on the tight-binding approximation for the Gross–Pitaevskii equation with a periodic potential

Article • Journal of Differential Equations, February 2010, Elsevier

Dr Dmitry Pelinovsky
Wave Breaking in the Ostrovsky–Hunter Equation

Article • SIAM Journal on Mathematical Analysis, January 2010, Society for Industrial & Applied Mathematics (SIAM)

Dr Dmitry Pelinovsky
On the uniform convergence of the Chebyshev interpolants for solitons

Article • Mathematics and Computers in Simulation, December 2009, Elsevier

Dr Dmitry Pelinovsky
On quadratic eigenvalue problems arising in stability of discrete vortices

Article • Linear Algebra and its Applications, August 2009, Elsevier

Dr Dmitry Pelinovsky
Eigenvalues of a nonlinear ground state in the Thomas–Fermi approximation

Article • Journal of Mathematical Analysis and Applications, July 2009, Elsevier

Dr Dmitry Pelinovsky
Localization in Periodic Potentials

Article • January 2009, Cambridge University Press

Dr Dmitry Pelinovsky
Wave breaking in the short-pulse equation

Article • Dynamics of Partial Differential Equations, January 2009, International Press of Boston

Dr Dmitry Pelinovsky
Discrete Traveling Solitons in the Salerno Model

Article • SIAM Journal on Applied Dynamical Systems, January 2009, Society for Industrial & Applied Mathematics (SIAM)

Dr Dmitry Pelinovsky
Asymptotic Stability of Small Bound States in the Discrete Nonlinear Schrödinger Equation

Article • SIAM Journal on Mathematical Analysis, January 2009, Society for Industrial & Applied Mathematics (SIAM)

Dr Dmitry Pelinovsky
Three-dimensional gravity waves in a channel of variable depth

Article • Communications in Nonlinear Science and Numerical Simulation, December 2008, Elsevier

Dr Dmitry Pelinovsky
On the spectral theory and dispersive estimates for a discrete Schrödinger equation in one dimension

Article • Journal of Mathematical Physics, November 2008, American Institute of Physics

Dr Dmitry Pelinovsky
Justification of the Lattice Equation for a Nonlinear Elliptic Problem with a Periodic Potential

Article • Communications in Mathematical Physics, October 2008, Springer Science + Business Media

Dr Dmitry Pelinovsky
Moving gap solitons in periodic potentials

Article • Mathematical Methods in the Applied Sciences, September 2008, Wiley

Dr Dmitry Pelinovsky
Slow-light dispersion in coupled periodic waveguides

Article • Journal of the Optical Society of America B, September 2008, Optical Society of America (OSA)

Dr Dmitry Pelinovsky
Coupled-Mode Equations and Gap Solitons in a Two-Dimensional Nonlinear Elliptic Problem with a Separable Periodic Potential

Article • Journal of Nonlinear Science, September 2008, Springer Science + Business Media

Dr Dmitry Pelinovsky
Spectrum of a non-self-adjoint operator associated with the periodic heat equation

Article • Journal of Mathematical Analysis and Applications, June 2008, Elsevier

Dr Dmitry Pelinovsky
Multi-component vortex solutions in symmetric coupled nonlinear Schrödinger equations

Article • Journal of Mathematical Sciences, June 2008, Springer Science + Business Media

Dr Dmitry Pelinovsky
Periodic oscillations of discrete NLS solitons in the presence of diffraction management

Article • Nonlinearity, May 2008, Institute of Physics Publishing

Dr Dmitry Pelinovsky
Stability of discrete dark solitons in nonlinear Schrödinger lattices

Article • Journal of Physics A Mathematical and Theoretical, April 2008, Institute of Physics Publishing

Dr Dmitry Pelinovsky
Lyapunov–Schmidt reduction algorithm for three-dimensional discrete vortices

Article • Physica D Nonlinear Phenomena, March 2008, Elsevier

Dr Dmitry Pelinovsky
Kadomtsev-Petviashvili equation

Article • Scholarpedia, January 2008, Scholarpedia

Dr Dmitry Pelinovsky
Periodic oscillations of dark solitons in parabolic potentials

Article • January 2008, American Mathematical Society (AMS)

Dr Dmitry Pelinovsky
Surface Gap Solitons at a Nonlinearity Interface

Article • SIAM Journal on Applied Dynamical Systems, January 2008, Society for Industrial & Applied Mathematics (SIAM)

Dr Dmitry Pelinovsky
One-parameter localized traveling waves in nonlinear Schrödinger lattices

Article • Physica D Nonlinear Phenomena, December 2007, Elsevier

Dr Dmitry Pelinovsky
Justification of the coupled-mode approximation for a nonlinear elliptic problem with a periodic potential

Article • Applicable Analysis, August 2007, Taylor & Francis

Dr Dmitry Pelinovsky
Two-pulse solutions in the fifth-order KdV equation: Rigorous theory and numerical approximations

Article • Discrete and Continuous Dynamical Systems - B, August 2007, American Institute of Mathematical Sciences (AIMS)

Dr Dmitry Pelinovsky
Incompressible Viscous Fluid Flows in a Thin Spherical Shell

Article • Journal of Mathematical Fluid Mechanics, July 2007, Springer Science + Business Media

Dr Dmitry Pelinovsky
Dark solitons in external potentials

Article • Zeitschrift für angewandte Mathematik und Physik, June 2007, Springer Science + Business Media

Dr Dmitry Pelinovsky
Nonlinear Instability of a Critical Traveling Wave in the Generalized Korteweg–de Vries Equation

Article • SIAM Journal on Mathematical Analysis, January 2007, Society for Industrial & Applied Mathematics (SIAM)

Dr Dmitry Pelinovsky
Translationally invariant nonlinear Schrödinger lattices

Article • Nonlinearity, October 2006, Institute of Physics Publishing

Dr Dmitry Pelinovsky
Feshbach resonance management of Bose-Einstein condensates in optical lattices

Article • Physical Review E, September 2006, American Physical Society (APS)

Dr Dmitry Pelinovsky
Exact conditions for existence of homoclinic orbits in the fifth-order KdV model

Article • Nonlinearity, August 2006, Institute of Physics Publishing

Dr Dmitry Pelinovsky
Eigenvalues of zero energy in the linearized NLS problem

Article • Journal of Mathematical Physics, June 2006, American Institute of Physics

Dr Dmitry Pelinovsky
Discrete vector on-site vortices

Article • Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences, April 2006, Royal Society Publishing

Dr Dmitry Pelinovsky
Normal form for travelling kinks in discrete Klein–Gordon lattices

Article • Physica D Nonlinear Phenomena, April 2006, Elsevier

Dr Dmitry Pelinovsky
Transverse instabilities of deep-water solitary waves

Article • Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences, February 2006, Royal Society Publishing

Dr Dmitry Pelinovsky
Block-Diagonalization of the Symmetric First-Order Coupled-Mode System

Article • SIAM Journal on Applied Dynamical Systems, January 2006, Society for Industrial & Applied Mathematics (SIAM)

Dr Dmitry Pelinovsky
Parametric resonance of ground states in the nonlinear Schrödinger equation

Article • Journal of Differential Equations, January 2006, Elsevier

Dr Dmitry Pelinovsky
Nonlinearity management in higher dimensions

Article • Journal of Physics A General Physics, December 2005, Institute of Physics Publishing

Dr Dmitry Pelinovsky
Stability of discrete solitons in nonlinear Schrödinger lattices

Article • Physica D Nonlinear Phenomena, December 2005, Elsevier

Dr Dmitry Pelinovsky
Persistence and stability of discrete vortices in nonlinear Schrödinger lattices

Article • Physica D Nonlinear Phenomena, December 2005, Elsevier

Dr Dmitry Pelinovsky
Travelling kinks in discrete phi4models

Article • Nonlinearity, November 2005, Institute of Physics Publishing

Dr Dmitry Pelinovsky
Evans Function for Lax Operators with Algebraically Decaying Potentials

Article • Journal of Nonlinear Science, October 2005, Springer Science + Business Media

Dr Dmitry Pelinovsky
Translationally invariant discrete kinks from one-dimensional maps

Article • Physical Review E, September 2005, American Physical Society (APS)

Dr Dmitry Pelinovsky
Solitons in nonintegrable systems

Article • Chaos An Interdisciplinary Journal of Nonlinear Science, September 2005, American Institute of Physics

Dr Dmitry Pelinovsky
Averaging of nonlinearity-managed pulses

Article • Chaos An Interdisciplinary Journal of Nonlinear Science, September 2005, American Institute of Physics

Dr Dmitry Pelinovsky
Stability analysis of embedded solitons in the generalized third-order nonlinear Schrödinger equation

Article • Chaos An Interdisciplinary Journal of Nonlinear Science, September 2005, American Institute of Physics

Dr Dmitry Pelinovsky
Oscillations of dark solitons in trapped Bose-Einstein condensates

Article • Physical Review E, July 2005, American Physical Society (APS)

Dr Dmitry Pelinovsky
Spatial Vector Solitons in Nonlinear Photonic Crystal Fibers

Article • Studies in Applied Mathematics, July 2005, Wiley

Dr Dmitry Pelinovsky
Instabilities of Multihump Vector Solitons in Coupled Nonlinear Schrödinger Equations

Article • Studies in Applied Mathematics, July 2005, Wiley

Dr Dmitry Pelinovsky
Spectral stability and time evolution ofN-solitons in the KdV hierarchy

Article • Journal of Physics A General Physics, June 2005, Institute of Physics Publishing

Dr Dmitry Pelinovsky
Bifurcations from the endpoints of the essential spectrum in the linearized nonlinear Schrödinger problem

Article • Journal of Mathematical Physics, May 2005, American Institute of Physics

Dr Dmitry Pelinovsky
Bifurcations of travelling wave solutions in the discrete NLS equations

Article • Physica D Nonlinear Phenomena, March 2005, Elsevier

Dr Dmitry Pelinovsky
Modeling of Wave Resonances in Low-Contrast Photonic Crystals

Article • SIAM Journal on Applied Mathematics, January 2005, Society for Industrial & Applied Mathematics (SIAM)

Dr Dmitry Pelinovsky
Hamiltonian averaging for solitons with nonlinearity management

Article • Physical Review E, October 2004, American Physical Society (APS)

Dr Dmitry Pelinovsky
Spectra of positive and negative energies in the linearized NLS problem

Article • Communications on Pure and Applied Mathematics, October 2004, Wiley

Dr Dmitry Pelinovsky
Bifurcations and stability of gap solitons in periodic potentials

Article • Physical Review E, September 2004, American Physical Society (APS)

Dr Dmitry Pelinovsky
Parametric Resonance and Radiative Decay of Dispersion-Managed Solitons

Article • SIAM Journal on Applied Mathematics, January 2004, Society for Industrial & Applied Mathematics (SIAM)

Dr Dmitry Pelinovsky
Convergence of Petviashvili's Iteration Method for Numerical Approximation of Stationary Solutions of Nonlinear Wave Equations

Article • SIAM Journal on Numerical Analysis, January 2004, Society for Industrial & Applied Mathematics (SIAM)

Dr Dmitry Pelinovsky
Averaging for Solitons with Nonlinearity Management

Article • Physical Review Letters, December 2003, American Physical Society (APS)

Dr Dmitry Pelinovsky
Purely nonlinear instability of standing waves with minimal energy

Article • Communications on Pure and Applied Mathematics, September 2003, Wiley

Dr Dmitry Pelinovsky
Stability Analysis of Stationary Light Transmission in Nonlinear Photonic Structures

Article • Journal of Nonlinear Science, August 2003, Springer Science + Business Media

Dr Dmitry Pelinovsky
On the exchange of energy in coupled Klein–Gordon equations

Article • Wave Motion, June 2003, Elsevier

Dr Dmitry Pelinovsky
Gauge transformation and spectral decomposition for the Ishimori-II equations

Article • Journal of Physics A General Physics, May 2003, Institute of Physics Publishing

Dr Dmitry Pelinovsky
Stable all-optical limiting in nonlinear periodic structures III Nonsolitonic pulse propagation

Article • Journal of the Optical Society of America B, April 2003, Optical Society of America (OSA)

Dr Dmitry Pelinovsky
Stable vortex and dipole vector solitons in a saturable nonlinear medium

Article • January 2003, American Physical Society (APS)

Dr Dmitry Pelinovsky
Evans Function for the AKNS Problem with Algebraic Solitons

Article • January 2003, Springer Science + Business Media

Dr Dmitry Pelinovsky
Averaging of Dispersion-Managed Solitons: Existence and Stability

Article • SIAM Journal on Applied Mathematics, January 2003, Society for Industrial & Applied Mathematics (SIAM)

Dr Dmitry Pelinovsky
Generation of large-amplitude solitons in the extended Korteweg–de Vries equation

Article • Chaos An Interdisciplinary Journal of Nonlinear Science, December 2002, American Institute of Physics

Dr Dmitry Pelinovsky, Professor Roger H J Grimshaw
Depletion layer and contact capacitance in non-uniformly doped semiconductors

Article • Journal of Physics D Applied Physics, November 2002, Institute of Physics Publishing

Dr Dmitry Pelinovsky
Semi-stability of embedded solitons in the general fifth-order KdV equation

Article • Wave Motion, September 2002, Elsevier

Dr Dmitry Pelinovsky
Stable all-optical limiting in nonlinear periodic structures II Computations

Article • Journal of the Optical Society of America B, August 2002, Optical Society of America (OSA)

Dr Dmitry Pelinovsky
Stable all-optical limiting in nonlinear periodic structures I Analysis

Article • Journal of the Optical Society of America B, January 2002, Optical Society of America (OSA)

Dr Dmitry Pelinovsky
Wave group dynamics in weakly nonlinear long-wave models

Article • Physica D Nonlinear Phenomena, November 2001, Elsevier

Dr Dmitry Pelinovsky, Professor Roger H J Grimshaw
Transverse Instability of Vector Solitons and Generation of Dipole Arrays

Article • Physical Review Letters, August 2001, American Physical Society (APS)

Dr Dmitry Pelinovsky
Interaction of lumps with a line soliton for the DSII equation

Article • Physica D Nonlinear Phenomena, May 2001, Elsevier

Dr Dmitry Pelinovsky
A mysterious threshold for transverse instability of deep-water solitons

Article • Mathematics and Computers in Simulation, March 2001, Elsevier

Dr Dmitry Pelinovsky
Stability criterion for multicomponent solitary waves

Article • December 2000, American Physical Society (APS)

Dr Dmitry Pelinovsky
Transmission regimes of periodic nonlinear optical structures

Article • October 2000, American Physical Society (APS)

Dr Dmitry Pelinovsky
Internal Oscillations and Radiation Damping of Vector Solitons

Article • Studies in Applied Mathematics, October 2000, Wiley

Dr Dmitry Pelinovsky
Persistent oscillations of scalar and vector dispersion-managed solitons

Article • Chaos An Interdisciplinary Journal of Nonlinear Science, September 2000, American Institute of Physics

Dr Dmitry Pelinovsky
Instabilities of dispersion-managed solitons in the normal dispersion regime

Article • September 2000, American Physical Society (APS)

Dr Dmitry Pelinovsky
Self-focusing and transverse instabilities of solitary waves

Article • Physics Reports, June 2000, Elsevier

Dr Dmitry Pelinovsky
OSCILLATORY INSTABILITY AND SUPERCRITICAL DYNAMICS OF DAMPED-DRIVEN NONLINEAR SCHRÖDINGER SOLITONS

Article • May 2000, World Scientific Pub Co Pte Lt

Dr Dmitry Pelinovsky
Spectral decomposition for the Dirac system associated to the DSII equation

Article • Inverse Problems, January 2000, Institute of Physics Publishing

Dr Dmitry Pelinovsky
Eigenfunctions and Eigenvalues for a Scalar Riemann-Hilbert Problem Associated to Inverse Scattering

Article • Communications in Mathematical Physics, January 2000, Springer Science + Business Media

Dr Dmitry Pelinovsky
Asymptotic approximations for a new eigenvalue in linear problems without a threshold

Article • Theoretical and Mathematical Physics, January 2000, Springer Science + Business Media

Dr Dmitry Pelinovsky
Асимптотики нового собственного значения в линейных задачах без порога

Article • Теоретическая и математическая физика, January 2000, Steklov Mathematical Institute

Dr Dmitry Pelinovsky
Generation of soliton oscillations in nonlinear quadratic materials

Article • June 1999, American Physical Society (APS)

Dr Dmitry Pelinovsky
Dynamics of the parametrically driven NLS solitons beyond the onset of the oscillatory instability

Article • Nonlinearity, January 1999, Institute of Physics Publishing

Dr Dmitry Pelinovsky
Bifurcations of new eigenvalues for the Benjamin–Ono equation

Article • Journal of Mathematical Physics, December 1998, American Institute of Physics

Dr Dmitry Pelinovsky
Rational solutions of the KP hierarchy and the dynamics of their poles. II. Construction of the degenerate polynomial solutions

Article • Journal of Mathematical Physics, October 1998, American Institute of Physics

Dr Dmitry Pelinovsky
Exact vortex solutions of the complex sine-Gordon theory on the plane

Article • Physics Letters B, September 1998, Elsevier

Dr Dmitry Pelinovsky
Radiative effects to the adiabatic dynamics of envelope-wave solitons

Article • Physica D Nonlinear Phenomena, August 1998, Elsevier

Dr Dmitry Pelinovsky
Internal Modes of Solitary Waves

Article • Physical Review Letters, June 1998, American Physical Society (APS)

Dr Dmitry Pelinovsky
Vibrations and Oscillatory Instabilities of Gap Solitons

Article • Physical Review Letters, June 1998, American Physical Society (APS)

Dr Dmitry Pelinovsky
Internal modes of envelope solitons

Article • Physica D Nonlinear Phenomena, May 1998, Elsevier

Dr Dmitry Pelinovsky
On internal wave–shear flow resonance in shallow water

Article • Journal of Fluid Mechanics, January 1998, Cambridge University Press

Dr Dmitry Pelinovsky
On modified NLS, Kaup and NLBq equations: differential transformations and bilinearization

Article • Journal of Physics A General Physics, December 1997, Institute of Physics Publishing

Dr Dmitry Pelinovsky
Instability analysis of internal solitary waves in a nearly uniformly stratified fluid

Article • Physics of Fluids, November 1997, American Institute of Physics

Dr Dmitry Pelinovsky, Professor Roger H J Grimshaw
Structural transformation of eigenvalues for a perturbed algebraic soliton potential

Article • Physics Letters A, May 1997, Elsevier

Dr Dmitry Pelinovsky, Professor Roger H J Grimshaw
An asymptotic approach to solitary wave instability and critical collapse in long-wave KdV-type evolution equations

Article • Physica D Nonlinear Phenomena, November 1996, Elsevier

Dr Dmitry Pelinovsky, Professor Roger H J Grimshaw
Instability-induced dynamics of dark solitons

Article • August 1996, American Physical Society (APS)

Dr Dmitry Pelinovsky
On the asymptotic integrability of a higher-order evolution equation describing internal waves in a deep fluid

Article • Journal of Mathematical Physics, July 1996, American Institute of Physics

Dr Dmitry Pelinovsky
Nonlinear theory of oscillating, decaying, and collapsing solitons in the generalized nonlinear Schrödinger equation

Article • February 1996, American Physical Society (APS)

Dr Dmitry Pelinovsky
GENERATION OF COLLECTIVE-ACTIVITY STRUCTURES IN A HOMOGENEOUS NEURON-LIKE MEDIUM I: BIFURCATION ANALYSIS OF STATIC STRUCTURES

Article • International Journal of Bifurcation and Chaos, January 1996, World Scientific Pub Co Pte Lt

Dr Dmitry Pelinovsky
GENERATION OF COLLECTIVE-ACTIVITY STRUCTURES IN A HOMOGENEOUS NEURON-LIKE MEDIUM II: DYNAMICS OF PROPAGATING AND PULSATING STRUCTURES

Article • International Journal of Bifurcation and Chaos, January 1996, World Scientific Pub Co Pte Lt

Dr Dmitry Pelinovsky
Nonlinear Theory of Soliton Instabilities

Article • January 1996, Springer Science + Business Media

Dr Dmitry Pelinovsky
Collapse transformation for self-focusing solitary waves in boundary-layer type shear flows

Article • Physics Letters A, October 1995, Elsevier

Dr Dmitry Pelinovsky
On a structure of the explicit solutions to the Davey-Stewartson equations

Article • Physica D Nonlinear Phenomena, October 1995, Elsevier

Dr Dmitry Pelinovsky
A spectral transform for the intermediate nonlinear Schrödinger equation

Article • Journal of Mathematical Physics, August 1995, American Institute of Physics

Dr Dmitry Pelinovsky, Professor Roger H J Grimshaw
Asymptotic theory of plane soliton self-focusing in two-dimensional wave media

Article • Physica D Nonlinear Phenomena, August 1995, Elsevier

Dr Dmitry Pelinovsky
Instability of Solitons Governed by Quadratic Nonlinearities

Article • Physical Review Letters, July 1995, American Physical Society (APS)

Dr Dmitry Pelinovsky
On a wave field transformation described by the two-dimensional Kadomtsev-Petviashvili equation

Article • Inverse Problems, June 1995, Institute of Physics Publishing

Dr Dmitry Pelinovsky
Self-focusing of plane dark solitons in nonlinear defocusing media

Article • May 1995, American Physical Society (APS)

Dr Dmitry Pelinovsky
Intermediate nonlinear Schrödinger equation for internal waves in a fluid of finite depth

Article • Physics Letters A, February 1995, Elsevier

Dr Dmitry Pelinovsky
The structure of the rational solutions to the Boussinesq equation

Article • Physica D Nonlinear Phenomena, January 1995, Elsevier

Dr Dmitry Pelinovsky
Instability and decay of solitary waves in the Davey-Stewartson 1 system

Article • Physics Letters A, December 1994, Elsevier

Dr Dmitry Pelinovsky
Rational solutions of the Kadomtsev–Petviashvili hierarchy and the dynamics of their poles. I. New form of a general rational solution

Article • Journal of Mathematical Physics, November 1994, American Institute of Physics

Dr Dmitry Pelinovsky
Formation of pulsed sources in neuro-like media

Article • Institute of Electrical & Electronics Engineers (IEEE)

Dr Dmitry Pelinovsky
Asymptotic Reductions of the Gross-Pitaevskii Equation

Article • Springer Science + Business Media

Dr Dmitry Pelinovsky
Nonlinear propagation of ultrashort pulses in nonlinear periodic materials with alternating oppositely-signed Kerr coefficients

Article • Institute of Electrical & Electronics Engineers (IEEE)

Dr Dmitry Pelinovsky
A set of travelling fronts of excitation in the model of homogeneous neuro-like medium with nonlocal coupling

Article • Institute of Electrical & Electronics Engineers (IEEE)

Dr Dmitry Pelinovsky

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