A New Generalization of Extended Tanh-Function Method for Solving Nonlinear Evolution Equations |
| |
Authors: | ZHENG Xue-Dong CHEN Yong LI Biao ZHANG Hong-Qing |
| |
Institution: | Department of Applied Mathematics, Dalian University
of Technology, Dalian 116024, China |
| |
Abstract: | Making use of a new generalized ansatze and a proper transformation, we generalized the extended tanh-function method. Applying the generalized method with the aid of Maple, we consider some nonlinear evolution equations.As a result, we can successfully recover the previously known solitary wave solutions that had been found by the extendedtanh-function method and other more sophisticated methods. More importantly, for some equations, we also obtain othernew and more general solutions at the same time. The results include kink-profile solitary-wave solutions, bell-profilesolitary-wave solutions, periodic wave solutions, rational solutions, singular solutions and new formal solutions. |
| |
Keywords: | nonlinear evolution equations exact solutions symbolic computation Riccati equation |
本文献已被 万方数据 等数据库收录! |
| 点击此处可从《理论物理通讯》浏览原始摘要信息 |
| 点击此处可从《理论物理通讯》下载免费的PDF全文 |
|