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

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

25 Scopus citations

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.

Original language	English
Pages (from-to)	133-138
Number of pages	6
Journal	Communications in Nonlinear Science and Numerical Simulation
Volume	10
Issue number	2
DOIs	https://doi.org/10.1016/S1007-5704(03)00121-7
State	Published - Mar 2005
Externally published	Yes

Keywords

Benjamin-Bona-Mahony equation
Burgers-Fisher equation
Solitary-wave solution

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10.1016/S1007-5704(03)00121-7

Cite this

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title = "Exact solutions for two nonlinear wave equations with nonlinear terms of any order",

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.",

keywords = "Benjamin-Bona-Mahony equation, Burgers-Fisher equation, Solitary-wave solution",

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

year = "2005",

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AU - Chen, Yong

AU - Li, Biao

AU - Zhang, Hongqing

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N2 - 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.

AB - 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.

KW - Benjamin-Bona-Mahony equation

KW - Burgers-Fisher equation

KW - Solitary-wave solution

UR - https://www.scopus.com/pages/publications/11144315347

U2 - 10.1016/S1007-5704(03)00121-7

DO - 10.1016/S1007-5704(03)00121-7

M3 - 文章

AN - SCOPUS:11144315347

SN - 1007-5704

VL - 10

SP - 133

EP - 138

JO - Communications in Nonlinear Science and Numerical Simulation

JF - Communications in Nonlinear Science and Numerical Simulation

IS - 2

ER -

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

Abstract

Keywords

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