Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1889087 | Chaos, Solitons & Fractals | 2009 | 7 Pages |
Abstract
In this paper, we introduce a function set Ωm. There is a conjecture that an arbitrary explicit travelling-wave analytical solution of a real constant coefficient nonlinear evolution equation is necessarily a linear (or nonlinear) combination of the product of some elements in Ωm. A widespread applicable approach for solving a class of nonlinear evolution equations is established. The new analytical solutions to two kinds of nonlinear evolution equations are described with the aid of the guess.
Related Topics
Physical Sciences and Engineering
Physics and Astronomy
Statistical and Nonlinear Physics
Authors
Feng Jin-Shun, Guo Ming-Pu, Yuan Deyou,