Links between some (2+1)-dimensional nonlinear evolution equations and Painlevé-II equations
Using the idea of transformation, some links between (2+1)-dimensional nonlinear evolution equations and the ordinary differential equations Painlevé-II equations has been illustrated. The Kadomtsev–Petviashvili (KP) equation, generalized (2+1)-dimensional break soliton equation and (2+1)-dimensiona...
Gespeichert in:
Veröffentlicht in: | Communications in nonlinear science & numerical simulation 2009-11, Vol.14 (11), p.3798-3803 |
---|---|
Hauptverfasser: | , , |
Format: | Artikel |
Sprache: | eng |
Schlagworte: | |
Online-Zugang: | Volltext |
Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
Zusammenfassung: | Using the idea of transformation, some links between (2+1)-dimensional nonlinear evolution equations and the ordinary differential equations Painlevé-II equations has been illustrated. The Kadomtsev–Petviashvili (KP) equation, generalized (2+1)-dimensional break soliton equation and (2+1)-dimensional Boussinesq equation are researched. As a result, some new interesting results about these (2+1)-dimensional PDEs have been obtained, such as the exact solutions with arbitrary functions, rich rational solutions and the nontrivial Bäcklund transformations have been derived. |
---|---|
ISSN: | 1007-5704 1878-7274 |
DOI: | 10.1016/j.cnsns.2009.02.026 |