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Links between some (2+1)-dimensional nonlinear evolution equations and Painlevé-II equations
- Source :
-
Communications in Nonlinear Science & Numerical Simulation . Nov2009, Vol. 14 Issue 11, p3798-3803. 6p. - Publication Year :
- 2009
-
Abstract
- Abstract: 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. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 10075704
- Volume :
- 14
- Issue :
- 11
- Database :
- Academic Search Index
- Journal :
- Communications in Nonlinear Science & Numerical Simulation
- Publication Type :
- Periodical
- Accession number :
- 39351625
- Full Text :
- https://doi.org/10.1016/j.cnsns.2009.02.026