Travelling wave solutions to Zufiria's higher-order Boussinesq type equations

Liang Gao; Wen Xiu Ma; Wei Xu

doi:10.1016/j.na.2008.11.069

Travelling wave solutions to Zufiria's higher-order Boussinesq type equations

Liang Gao
, Wen Xiu Ma
, Wei Xu

School of Mathematics and Statistics

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

4 Scopus citations

Abstract

Zufiria's higher-order Boussinesq type equations are studied by transforming them into solvable ordinary differential equations. Various families of their travelling wave solutions are generated, which include periodic wave, solitary wave, periodic-like wave, soliton-like wave, Jacobi elliptic function periodic wave, combined non-degenerative Jacobi elliptic function-like wave, Weierstrass elliptic function periodic and rational solutions. The presented approach can be also applied to nonlinear wave equations with variable coefficients in mathematical physics and mechanics.

Original language	English
Pages (from-to)	e711-e724
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	71
Issue number	12
DOIs	https://doi.org/10.1016/j.na.2008.11.069
State	Published - 15 Dec 2009

Keywords

Jacobi elliptic function periodic wave
Periodic wave
Periodic-like wave
Rational solutions
Solitary wave
Soliton-like wave
Weierstrass elliptic function periodic
Zufiria's higher-order Boussinesq type equations

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10.1016/j.na.2008.11.069

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title = "Travelling wave solutions to Zufiria's higher-order Boussinesq type equations",

abstract = "Zufiria's higher-order Boussinesq type equations are studied by transforming them into solvable ordinary differential equations. Various families of their travelling wave solutions are generated, which include periodic wave, solitary wave, periodic-like wave, soliton-like wave, Jacobi elliptic function periodic wave, combined non-degenerative Jacobi elliptic function-like wave, Weierstrass elliptic function periodic and rational solutions. The presented approach can be also applied to nonlinear wave equations with variable coefficients in mathematical physics and mechanics.",

keywords = "Jacobi elliptic function periodic wave, Periodic wave, Periodic-like wave, Rational solutions, Solitary wave, Soliton-like wave, Weierstrass elliptic function periodic, Zufiria's higher-order Boussinesq type equations",

author = "Liang Gao and Ma, \{Wen Xiu\} and Wei Xu",

year = "2009",

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TY - JOUR

T1 - Travelling wave solutions to Zufiria's higher-order Boussinesq type equations

AU - Gao, Liang

AU - Ma, Wen Xiu

AU - Xu, Wei

PY - 2009/12/15

Y1 - 2009/12/15

N2 - Zufiria's higher-order Boussinesq type equations are studied by transforming them into solvable ordinary differential equations. Various families of their travelling wave solutions are generated, which include periodic wave, solitary wave, periodic-like wave, soliton-like wave, Jacobi elliptic function periodic wave, combined non-degenerative Jacobi elliptic function-like wave, Weierstrass elliptic function periodic and rational solutions. The presented approach can be also applied to nonlinear wave equations with variable coefficients in mathematical physics and mechanics.

AB - Zufiria's higher-order Boussinesq type equations are studied by transforming them into solvable ordinary differential equations. Various families of their travelling wave solutions are generated, which include periodic wave, solitary wave, periodic-like wave, soliton-like wave, Jacobi elliptic function periodic wave, combined non-degenerative Jacobi elliptic function-like wave, Weierstrass elliptic function periodic and rational solutions. The presented approach can be also applied to nonlinear wave equations with variable coefficients in mathematical physics and mechanics.

KW - Jacobi elliptic function periodic wave

KW - Periodic wave

KW - Periodic-like wave

KW - Rational solutions

KW - Solitary wave

KW - Soliton-like wave

KW - Weierstrass elliptic function periodic

KW - Zufiria's higher-order Boussinesq type equations

UR - https://www.scopus.com/pages/publications/72149129200

U2 - 10.1016/j.na.2008.11.069

DO - 10.1016/j.na.2008.11.069

M3 - 文章

AN - SCOPUS:72149129200

SN - 0362-546X

VL - 71

SP - e711-e724

JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

IS - 12

ER -

Travelling wave solutions to Zufiria's higher-order Boussinesq type equations

Abstract

Keywords

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