New exact solutions for the generalized Kuramoto-Sivashinsky Equation

被引：0
|
作者：
Liu, Jian-Guo [1 ]
Zeng, Zhi-Fang [2 ]
Ye, Qing [1 ]
机构：
[1] Jiangxi Univ Tradit Chinese Med, Coll Comp, Nanchang 330004, Jiangxi, Peoples R China
[2] Jiangxi Vocat & Tech Coll Commun, Dept Basic, Nanchang 330013, Jiangxi, Peoples R China
来源：
PROCEEDINGS OF THE 30TH CHINESE CONTROL AND DECISION CONFERENCE (2018 CCDC) | 2018年
关键词：
symbolic computation; exact solutions; extended tanh-function method; Kur amoto-Sivashinsky; mathematical physics; SOLITARY WAVE SOLUTIONS; TANH-FUNCTION METHOD; BACKLUND TRANSFORMATION; BOUSSINESQ EQUATION;
D O I：
暂无
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, with symbolic computation, the generalized Kuramoto-Sivashins -ky equation which describes the fluctuations of the position of a flame front, the motion of a fluid going down a vertical wall, or a spatially uniform oscillating chemical reaction in a homogeneous medium, is studied via the extended tanh-function method. By virtue of the extended Gault-function method, new exact solutions of this equation are presented. The restrictions on the parameters are also identified. It is shown that the extended tanh-function method is a competent and influential tool in solving nonlinear partial differential equations in mathematical physics.
引用
收藏
页码：2444 / 2447
页数：4
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