利用改进的F展开法求mBBM方程和Vakhnenko方程的新精确解(英文)  

The extended F-expansion method for exact solutions of the mBBM and the Vakhnenko equations

作　　者：张平[1] 张桂坚[1] 

机构地区：[1]五邑大学数理系,广东江门529020

出　　处：《徐州师范大学学报（自然科学版）》2009年第2期33-38,共6页Journal of Xuzhou Normal University(Natural Science Edition)

基　　金：supported by the Natural Science Foundation of Guangdong Province(84529020-01000043)

摘　　要：改进的F展开法是用来构造非线性发展方程精确解的一种有效方法.本文利用改进的F展开法得到了Va-khnenko方程和modified Benjamin-Bona-Mahony(mBBM)方程的许多新精确解.这些新精确解中包括孤波解,周期解等.The extended F-expansion method is used to construct many exact solutions of nonlinear evolution equations. In this paper,many new families of exact solutions of the Vakhnenko and modified Benjamin-Bona-Mahony （mBBM） equations by using the extended F-expansion method are obtained. These exact solutions include solitons and periodic solutions.

关 键 词：扩展的F展开法 MBBM方程 Vakhnenko方程 精确解 

分 类 号：O175.29[理学—数学]