A new Jacobi elliptic function rational expansion method and its application to (1 + 1)-dimensional dispersive long wave equation |
| |
Affiliation: | 1. Department of Mathematics, Faculty of Science Bilkent University, Ankara 06800, Turkey;2. Department of Mathematics, Faculty of Science Hacettepe University, Ankara 06800, Turkey |
| |
Abstract: | With the aid of computerized symbolic computation, a new elliptic function rational expansion method is presented by means of a new general ansätz and is very powerful to uniformly construct more new exact doubly-periodic solutions in terms of rational formal Jacobi elliptic function of nonlinear evolution equations (NLEEs). As an application of the method, we choose a (1 + 1)-dimensional dispersive long wave equation to illustrate the method. As a result, we can successfully obtain the solutions found by most existing Jacobi elliptic function methods and find other new and more general solutions at the same time. Of course, more shock wave solutions or solitary wave solutions can be gotten at their limit condition. |
| |
Keywords: | |
本文献已被 ScienceDirect 等数据库收录! |
|