Reduction of the Sharma-Tasso-Olver equation and series solutions

被引：9
|
作者：
Zhou, Yuqian [1 ,2 ]
Yang, Fuchun [2 ]
Liu, Qian [3 ]
机构：
[1] Chengdu Univ Informat Technol, Sch Math, Chengdu 610225, Sichuan, Peoples R China
[2] Yunnan Univ, Sch Math & Stat, Kunming 650091, Yunnan, Peoples R China
[3] SW Univ Nationalities, Sch Comp Sci Technol, Chengdu 610041, Sichuan, Peoples R China
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2011年 / 16卷 / 02期
关键词：
Sharma-Tasso-Olver equation; Homogenous balance method; Backlund transformation; Series solutions;
D O I：
10.1016/j.cnsns.2010.05.002
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper considers series solutions of the Sharma-Tasso-Olver (STO) equation. By using the extended homogenous balance method, we reduce the STO equation to a linear PDE and obtain Backlund transformation of it. Furthermore, the self-transformation of solutions for the STO equation is obtained. By the Backlund transformation and various series solutions of the PDE, abundant exact solutions of the STO equation are obtained including the multi-solitary wave solution, trigonometric function series solution, rational series solution and solution consisting of the three types of solutions. (C) 2010 Elsevier B.V. All rights reserved.
引用
收藏
页码：641 / 646
页数：6
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