All Stories

  1. Extended (3 + 1)-dimensional Kairat-II and Kairat-X equations: Painlevé integrability, multiple soliton solutions, lump solutions, and breather wave solutions
  2. On the Painlevé integrability and nonlinear structures to a (3 + 1)-dimensional Boussinesq-type equation in fluid mediums: Lumps and multiple soliton/shock solutions
  3. A Hamiltonian equation produces a variety of Painlevé integrable equations: solutions of distinct physical structures
  4. Physical multiple shock solutions to the integrability of linear structures of Burgers hierarchy
  5. On the Painlevé integrability of three-extensions to Mikhailov–Novikov–Wang equations: Multiple solitons, shocks, and other physical solutions
  6. Study on (3+1)-dimensional nonlocal Boussinesq equation: multiple soliton solutions
  7. Study on extensions of (modified) Korteweg–de Vries equations: Painlevé integrability and multiple soliton solutions in fluid mediums
  8. Analytical study on two new (3 + 1)-dimensional Painlevé integrable equations: Kink, lump, and multiple soliton solutions in fluid mediums
  9. Integrability of linear structure of components of modified Korteweg–De Vries hierarchy: multiple soliton solutions and breathers solutions
  10. New (3+1)-dimensional integrable fourth-order nonlinear equation: lumps and multiple soliton solutions
  11. New integrable (2+1)- and (3+1)-dimensional shallow water wave equations: multiple soliton solutions and lump solutions
  12. A new (3 + 1)-dimensional Painlevé-integrable Sakovich equation: multiple soliton solutions
  13. A variety of completely integrable Calogero–Bogoyavlenskii–Schiff equations with time-dependent coefficients
  14. Painlevé analysis for new (3 + 1)-dimensional Boiti–Leon–Manna–Pempinelli equations with constant and time-dependent coefficients
  15. Two new Painlevé-integrable extended Sakovich equations with (2 + 1) and (3 + 1) dimensions
  16. Two new integrable modified KdV equations, of third-and fifth-order, with variable coefficients: multiple real and multiple complex soliton solutions
  17. Einstein's vacuum field equation: Painlevé analysis and Lie symmetries
  18. Two new integrable Kadomtsev–Petviashvili equations with time-dependent coefficients: multiple real and complex soliton solutions
  19. A variety of multiple-soliton solutions for the integrable (4+1)-dimensional Fokas equation
  20. New exact solutions to extended (3 + 1)-dimensional Jimbo-Miwa equations by using bilinear forms
  21. Construction of exact solutions in a magneto-electro-elastic circular rod
  22. A new integrable equation that combines the KdV equation with the negative-order KdV equation
  23. Exact Soliton and Kink Solutions for New (3+1)-Dimensional Nonlinear Modified Equations of Wave Propagation
  24. Negative-order KdV equations in (3+1) dimensions by using the KdV recursion operator
  25. Multiple soliton solutions and other exact solutions for a two-mode KdV equation
  26. New (3+1)-dimensional nonlinear equations with KdV equation constituting its main part: multiple soliton solutions
  27. On the Adomian decomposition method for solving the Stefan problem
  28. Negative-order modified KdV equations: multiple soliton and multiple singular soliton solutions
  29. The Variational Iteration Method for Solving New Fourth-Order Emden–Fowler Type Equations
  30. On the Solution of Non-Isothermal Reaction-Diffusion Model Equations in a Spherical Catalyst by the Modified Adomian Method
  31. A variety of (3 + 1)-dimensional Burgers equations derived by using the Burgers recursion operator
  32. Integrable couplings of the generalized Vakhnenko equation: multiple soliton solutions
  33. A study on the systems of the Volterra integral forms of the Lane–Emden equations by the Adomian decomposition method
  34. A variety of distinct kinds of multiple soliton solutions for a ( 3 + 1)‐dimensional nonlinear evolution equation