Elliptic equation rational expansion method and new exact travelling solutions for Whitham-Broer-Kaup equations

Yong Chen; Qi Wang; Biao Li

doi:10.1016/j.chaos.2004.12.020

Elliptic equation rational expansion method and new exact travelling solutions for Whitham-Broer-Kaup equations

Yong Chen^*
, Qi Wang
, Biao Li

^*Corresponding author for this work

Ningbo University
Shanghai Jiao Tong University
Dalian University of Technology
Chinese Academy of Sciences

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

49 Scopus citations

Abstract

Based on a new general ansatz and a general subepuation, a new general algebraic method named elliptic equation rational expansion method is devised for constructing multiple travelling wave solutions in terms of rational special function for nonlinear evolution equations (NEEs). We apply the proposed method to solve Whitham-Broer-Kaup equation and explicitly construct a series of exact solutions which include rational form solitary wave solution, rational form triangular periodic wave solutions and rational wave solutions as special cases. In addition, the links among our proposed method with the method by Fan [Chaos, Solitons & Fractals 2004;20:609], are also clarified generally.

Original language	English
Pages (from-to)	231-246
Number of pages	16
Journal	Chaos, Solitons and Fractals
Volume	26
Issue number	1
DOIs	https://doi.org/10.1016/j.chaos.2004.12.020
State	Published - Oct 2005
Externally published	Yes

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title = "Elliptic equation rational expansion method and new exact travelling solutions for Whitham-Broer-Kaup equations",

abstract = "Based on a new general ansatz and a general subepuation, a new general algebraic method named elliptic equation rational expansion method is devised for constructing multiple travelling wave solutions in terms of rational special function for nonlinear evolution equations (NEEs). We apply the proposed method to solve Whitham-Broer-Kaup equation and explicitly construct a series of exact solutions which include rational form solitary wave solution, rational form triangular periodic wave solutions and rational wave solutions as special cases. In addition, the links among our proposed method with the method by Fan [Chaos, Solitons \& Fractals 2004;20:609], are also clarified generally.",

author = "Yong Chen and Qi Wang and Biao Li",

year = "2005",

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doi = "10.1016/j.chaos.2004.12.020",

language = "英语",

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AU - Chen, Yong

AU - Wang, Qi

AU - Li, Biao

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Y1 - 2005/10

N2 - Based on a new general ansatz and a general subepuation, a new general algebraic method named elliptic equation rational expansion method is devised for constructing multiple travelling wave solutions in terms of rational special function for nonlinear evolution equations (NEEs). We apply the proposed method to solve Whitham-Broer-Kaup equation and explicitly construct a series of exact solutions which include rational form solitary wave solution, rational form triangular periodic wave solutions and rational wave solutions as special cases. In addition, the links among our proposed method with the method by Fan [Chaos, Solitons & Fractals 2004;20:609], are also clarified generally.

AB - Based on a new general ansatz and a general subepuation, a new general algebraic method named elliptic equation rational expansion method is devised for constructing multiple travelling wave solutions in terms of rational special function for nonlinear evolution equations (NEEs). We apply the proposed method to solve Whitham-Broer-Kaup equation and explicitly construct a series of exact solutions which include rational form solitary wave solution, rational form triangular periodic wave solutions and rational wave solutions as special cases. In addition, the links among our proposed method with the method by Fan [Chaos, Solitons & Fractals 2004;20:609], are also clarified generally.

UR - https://www.scopus.com/pages/publications/17644415361

U2 - 10.1016/j.chaos.2004.12.020

DO - 10.1016/j.chaos.2004.12.020

M3 - 文章

AN - SCOPUS:17644415361

SN - 0960-0779

VL - 26

SP - 231

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JO - Chaos, Solitons and Fractals

JF - Chaos, Solitons and Fractals

IS - 1

ER -

Elliptic equation rational expansion method and new exact travelling solutions for Whitham-Broer-Kaup equations

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