Exact solutions for two nonlinear wave equations with nonlinear terms of any order

Yong Chen; Biao Li; Hongqing Zhang

doi:10.1016/S1007-5704(03)00121-7

Exact solutions for two nonlinear wave equations with nonlinear terms of any order

Yong Chen^*
, Biao Li
, Hongqing Zhang

^*此作品的通讯作者

Dalian University of Technology
Chinese Academy of Sciences

科研成果: 期刊稿件 › 文章 › 同行评审

26 引用（Scopus）

摘要

In this paper, based on a variable-coefficient balancing-act method, by means of an appropriate transformation and with the help of Mathematica, we obtain some new types of solitary-wave solutions to the generalized Benjamin-Bona-Mahony (BBM) equation and the generalized Burgers-Fisher (BF) equation with nonlinear terms of any order. These solutions fully cover the various solitary waves of BBM equation and BF equation previously reported.

源语言	英语
页（从-至）	133-138
页数	6
期刊	Communications in Nonlinear Science and Numerical Simulation
卷	10
期	2
DOI	https://doi.org/10.1016/S1007-5704(03)00121-7
出版状态	已出版 - 3月 2005
已对外发布	是

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abstract = "In this paper, based on a variable-coefficient balancing-act method, by means of an appropriate transformation and with the help of Mathematica, we obtain some new types of solitary-wave solutions to the generalized Benjamin-Bona-Mahony (BBM) equation and the generalized Burgers-Fisher (BF) equation with nonlinear terms of any order. These solutions fully cover the various solitary waves of BBM equation and BF equation previously reported.",

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author = "Yong Chen and Biao Li and Hongqing Zhang",

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AU - Li, Biao

AU - Zhang, Hongqing

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KW - Benjamin-Bona-Mahony equation

KW - Burgers-Fisher equation

KW - Solitary-wave solution

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Exact solutions for two nonlinear wave equations with nonlinear terms of any order

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