All Stories

  1. Symmetry and asymptotic solutions for a magnetohydrodynamics Darcy–Forchheimer flow with a p-Laplacian operator

    Article • Physics of Fluids, January 2024, American Institute of Physics

    Enrique Reyes

  2. Analysis of a fire extinguishing model with a p-Laplacian operator and with non-linear advection and reaction

    Article • Physica Scripta, July 2023, Institute of Physics Publishing

    Enrique Reyes

  3. Generalized Kadomtsev-Petviashvili: a universal two-dimensional integrable system

    Article • Journal of Mathematical Physics, September 2022, American Institute of Physics

    Enrique Reyes, Jean-Pierre Magnot, Vladimir Roubtsov

  4. Generalizing dendriform algebras: Dyckm-algebras, Rotam-algebras, and Rota–Baxter operators

    Article • International Journal of Geometric Methods in Modern Physics, August 2021, World Scientific Pub Co Pte Lt

    Enrique Reyes

  5. Massey products, A∞-algebras, differential equations, and Chekanov homology

    Article • Journal of Nonlinear Mathematical Physics, January 2021, Springer Science + Business Media

    Enrique Reyes

  6. Nonlinear pseudo-differential equations defined by elliptic symbols on Lp(ℝn) and the fractional Laplacian

    Article • Israel Journal of Mathematics, May 2019, Springer Science + Business Media

    Enrique Reyes

  7. The Laplace transform and nonlocal field equations

    Article • January 2019, American Institute of Physics

    Enrique Reyes

  8. Central extensions of the algebra of formal pseudo-differential symbols via Hochschild (co)homology and quadratic symplectic Lie algebras

    Article • Journal of Pure and Applied Algebra, August 2018, Elsevier

    Enrique Reyes

  9. Local and Nonlocal Symmetries in Mathematical Physics

    Article • Journal of Nonlinear Mathematical Physics, December 2017, Taylor & Francis

    Enrique Reyes

  10. The Cauchy problem of the Kadomtsev-Petviashvili hierarchy with arbitrary coefficient algebra

    Article • Journal of Nonlinear Mathematical Physics, December 2017, Taylor & Francis

    Jean-Pierre Magnot, Enrique Reyes

  11. Multipotentializations and nonlocal symmetries: Kupershmidt, Kaup-Kupershmidt and Sawada-Kotera equations

    Article • Journal of Nonlinear Mathematical Physics, June 2017, Taylor & Francis

    Enrique Reyes

  12. From Hopf fibrations to exotic causal replacements

    Article • October 2016, American Physical Society (APS)

    Enrique Reyes

  13. Nonlinear Evolution Equations with Infinitely Many Derivatives

    Article • Complex Analysis and Operator Theory, February 2016, Springer Science + Business Media

    Enrique Reyes

  14. Differential Equations with Infinitely Many Derivatives and the Borel Transform

    Article • Annales Henri Poincaré, November 2015, Springer Science + Business Media

    Humberto E Prado, Enrique Reyes

  15. The Ehlers–Geroch theorem on geodesic motion in general relativity

    Article • International Journal of Geometric Methods in Modern Physics, February 2015, World Scientific Pub Co Pte Lt

    Enrique Reyes

  16. Equations of Camassa–Holm type and the geometry of loop groups

    Article • Journal of Geometry and Physics, January 2015, Elsevier

    Enrique Reyes

  17. Formal Pseudodifferential Operators in One and Several Variables, Central Extensions, and Integrable Systems

    Article • Advances in Mathematical Physics, January 2015, Hindawi Publishing Corporation

    Enrique Reyes

  18. SOBOLEV SPACES ON LOCALLY COMPACT ABELIAN GROUPS AND THE BOSONIC STRING EQUATION

    Article • Journal of the Australian Mathematical Society, October 2014, Cambridge University Press

    Enrique Reyes

  19. On equations with infinitely many derivatives: integral transforms and the Cauchy problem

    Article • Journal of Physics Conference Series, March 2014, Institute of Physics Publishing

    Humberto E Prado, Enrique Reyes

  20. Sobolev Spaces on Locally Compact Abelian Groups: Compact Embeddings and Local Spaces

    Article • Journal of Function Spaces, January 2014, Hindawi Publishing Corporation

    Enrique Reyes

  21. NONLOCAL SYMMETRIES, COMPACTON EQUATIONS, AND INTEGRABILITY

    Article • International Journal of Geometric Methods in Modern Physics, August 2013, World Scientific Pub Co Pte Lt

    Enrique Reyes

  22. The Kadomtsev-Petviashvili hierarchy and the Mulase factorization of formal Lie groups

    Article • Journal of Geometric Mechanics, January 2013, American Institute of Mathematical Sciences (AIMS)

    Enrique Reyes

  23. THE RELLICH LEMMA ON COMPACT ABELIAN GROUPS AND EQUATIONS OF INFINITE ORDER

    Article • International Journal of Geometric Methods in Modern Physics, December 2012, World Scientific Pub Co Pte Lt

    Enrique Reyes

  24. On a General Class of Nonlocal Equations

    Article • Annales Henri Poincaré, September 2012, Springer Science + Business Media

    Humberto E Prado, Enrique Reyes

  25. The modified Hunter–Saxton equation

    Article • Journal of Geometry and Physics, August 2012, Elsevier

    Enrique Reyes

  26. The dual modified Korteweg-de Vries–Fokas–Qiao equation: Geometry and local analysis

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

    Enrique Reyes

  27. The initial value problem for ordinary differential equations with infinitely many derivatives

    Article • Classical and Quantum Gravity, March 2012, Institute of Physics Publishing

    Enrique Reyes

  28. Jet Bundles, symmetries, Darboux transforms

    Article • January 2012, American Mathematical Society (AMS)

    Enrique Reyes

  29. Geometric Integrability of the Camassa–Holm Equation. II

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

    Enrique Reyes

  30. Equations of Pseudo-Spherical Type (After S.S. Chern and K. Tenenblat)

    Article • Results in Mathematics, July 2011, Springer Science + Business Media

    Enrique Reyes

  31. Functional calculus via Laplace transform and equations with infinitely many derivatives

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

    Enrique Reyes

  32. The Modified Camassa-Holm Equation

    Article • International Mathematics Research Notices, September 2010, Oxford University Press (OUP)

    Enrique Reyes

  33. Remarks on Undecidability, Incompleteness and the Integrability Problem

    Article • International Journal of Theoretical Physics, August 2010, Springer Science + Business Media

    Enrique Reyes

  34. Completeness in quantum mechanics and the Weyl–Titchmarsh–Kodaira theorem

    Article • Journal of Physics A Mathematical and Theoretical, May 2010, Institute of Physics Publishing

    Enrique Reyes

  35. The Laplace Transform in the Study of Equations with Infinitely Many Derivatives

    Article • January 2010, American Institute of Physics

    Enrique Reyes

  36. Nonlinear Equations with Infinitely many Derivatives

    Article • Complex Analysis and Operator Theory, November 2009, Springer Science + Business Media

    Enrique Reyes

  37. Nonlocal symmetries and a Darboux transformation for the Camassa–Holm equation

    Article • Journal of Physics A Mathematical and Theoretical, April 2009, Institute of Physics Publishing

    Enrique Reyes

  38. EXPLICIT SOLUTIONS TO THE KAUP–KUPERSHMIDT EQUATION VIA NONLOCAL SYMMETRIES

    Article • International Journal of Bifurcation and Chaos, August 2007, World Scientific Pub Co Pte Lt

    Enrique Reyes

  39. On nonlocal symmetries of some shallow water equations

    Article • Journal of Physics A Mathematical and Theoretical, April 2007, Institute of Physics Publishing

    Enrique Reyes

  40. Pseudo-potentials, nonlocal symmetries and integrability of some shallow water equations

    Article • Selecta Mathematica, December 2006, Springer Science + Business Media

    Enrique Reyes

  41. Correspondence theorems for hierarchies of equations of pseudo-spherical type

    Article • Journal of Differential Equations, June 2006, Elsevier

    Enrique Reyes

  42. The soliton content of classical Jackiw–Teitelboim gravity

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

    Enrique Reyes

  43. Nonlocal symmetries and the Kaup–Kupershmidt equation

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

    Enrique Reyes

  44. On the motion of particles and strings, presymplectic mechanics, and the variational bicomplex

    Article • General Relativity and Gravitation, March 2005, Springer Science + Business Media

    Enrique Reyes

  45. On Covariant Phase Space and the Variational Bicomplex

    Article • International Journal of Theoretical Physics, May 2004, Springer Science + Business Media

    Enrique Reyes

  46. On generalized Bäcklund transformations for equations describing pseudo-spherical surfaces

    Article • Journal of Geometry and Physics, March 2003, Elsevier

    Enrique Reyes

  47. Transformations of solutions for equations and hierarchies of pseudo-spherical type

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

    Enrique Reyes

  48. Geometric integrability of the Camassa-Holm equation

    Article • Letters in Mathematical Physics, January 2002, Springer Science + Business Media

    Enrique Reyes

  49. On formal integrability of evolution equations and local geometry of surfaces

    Article • Differential Geometry and its Applications, September 2001, Elsevier

    Enrique Reyes

  50. Conservation laws and Calapso–Guichard deformations of equations describing pseudo-spherical surfaces

    Article • Journal of Mathematical Physics, May 2000, American Institute of Physics

    Enrique Reyes

  51. Article • Acta Applicandae Mathematicae, January 2000, Springer Science + Business Media

    Enrique Reyes

  52. Pseudo-spherical Surfaces and Integrability of Evolution Equations

    Article • Journal of Differential Equations, July 1998, Elsevier

    Enrique Reyes