New explicit travelling wave solutions of nonlinearly dispersive Boussinesq equations

Liang Gao; Wei Xu; Jianwei Shen; Yaning Tang

doi:10.1016/j.chaos.2006.07.013

New explicit travelling wave solutions of nonlinearly dispersive Boussinesq equations

Liang Gao
, Wei Xu
, Jianwei Shen
, Yaning Tang

School of Mathematics and Statistics

Northwestern Polytechnical University Xian
Xuchang University

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

Abstract

In this paper, nonlinearly dispersive Boussinesq equations (B(m, n) equations) are investigated by using a generalized algebraic method. A variety of explicit and exact travelling wave solutions, such as solitary wave, triangular periodic, rational, Jacobi and Weierstrass doubly periodic solutions, are obtained. Many new results are presented.

Original language	English
Pages (from-to)	940-945
Number of pages	6
Journal	Chaos, Solitons and Fractals
Volume	36
Issue number	4
DOIs	https://doi.org/10.1016/j.chaos.2006.07.013
State	Published - May 2008

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10.1016/j.chaos.2006.07.013

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@article{965fad88967d4dbfb6ede3a65a369d2a,

title = "New explicit travelling wave solutions of nonlinearly dispersive Boussinesq equations",

abstract = "In this paper, nonlinearly dispersive Boussinesq equations (B(m, n) equations) are investigated by using a generalized algebraic method. A variety of explicit and exact travelling wave solutions, such as solitary wave, triangular periodic, rational, Jacobi and Weierstrass doubly periodic solutions, are obtained. Many new results are presented.",

author = "Liang Gao and Wei Xu and Jianwei Shen and Yaning Tang",

year = "2008",

month = may,

doi = "10.1016/j.chaos.2006.07.013",

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AU - Gao, Liang

AU - Xu, Wei

AU - Shen, Jianwei

AU - Tang, Yaning

PY - 2008/5

Y1 - 2008/5

N2 - In this paper, nonlinearly dispersive Boussinesq equations (B(m, n) equations) are investigated by using a generalized algebraic method. A variety of explicit and exact travelling wave solutions, such as solitary wave, triangular periodic, rational, Jacobi and Weierstrass doubly periodic solutions, are obtained. Many new results are presented.

AB - In this paper, nonlinearly dispersive Boussinesq equations (B(m, n) equations) are investigated by using a generalized algebraic method. A variety of explicit and exact travelling wave solutions, such as solitary wave, triangular periodic, rational, Jacobi and Weierstrass doubly periodic solutions, are obtained. Many new results are presented.

UR - https://www.scopus.com/pages/publications/38349113559

U2 - 10.1016/j.chaos.2006.07.013

DO - 10.1016/j.chaos.2006.07.013

M3 - 文章

AN - SCOPUS:38349113559

SN - 0960-0779

VL - 36

SP - 940

EP - 945

JO - Chaos, Solitons and Fractals

JF - Chaos, Solitons and Fractals

IS - 4

ER -

New explicit travelling wave solutions of nonlinearly dispersive Boussinesq equations

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