New explicit exact solutions of one type of generalized Boussinesq equations and the Boussinesq-Burgers equation

Liang Gao; Wei Xu; Ya Ning Tang; Jian Wei Shen

doi:10.7498/aps.56.1860

New explicit exact solutions of one type of generalized Boussinesq equations and the Boussinesq-Burgers equation

Liang Gao
, Wei Xu
, Ya Ning Tang
, Jian Wei Shen

School of Mathematics and Statistics

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

10 Scopus citations

Abstract

In this paper, explicit exact solutions of one type of generalized Boussinesq equations (B(m, n) equations) and the Boussinesq-Burgers equation (B-B equation) are investigated using a generalized algebraic method. A variety of explicit exact solutions, such as solitary wave, triangular periodic, rational, Jacobi and Weierstrass elliptic function periodic solutions are obtained.

Original language	English
Pages (from-to)	1860-1869
Number of pages	10
Journal	Wuli Xuebao/Acta Physica Sinica
Volume	56
Issue number	4
DOIs	https://doi.org/10.7498/aps.56.1860
State	Published - Apr 2007

Keywords

Boussinesq equations
Boussinesq-Burgers equation
Explicit exact solutions
Generalized algebraic method

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10.7498/aps.56.1860

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abstract = "In this paper, explicit exact solutions of one type of generalized Boussinesq equations (B(m, n) equations) and the Boussinesq-Burgers equation (B-B equation) are investigated using a generalized algebraic method. A variety of explicit exact solutions, such as solitary wave, triangular periodic, rational, Jacobi and Weierstrass elliptic function periodic solutions are obtained.",

keywords = "Boussinesq equations, Boussinesq-Burgers equation, Explicit exact solutions, Generalized algebraic method",

author = "Liang Gao and Wei Xu and Tang, \{Ya Ning\} and Shen, \{Jian Wei\}",

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AU - Gao, Liang

AU - Xu, Wei

AU - Tang, Ya Ning

AU - Shen, Jian Wei

PY - 2007/4

Y1 - 2007/4

N2 - In this paper, explicit exact solutions of one type of generalized Boussinesq equations (B(m, n) equations) and the Boussinesq-Burgers equation (B-B equation) are investigated using a generalized algebraic method. A variety of explicit exact solutions, such as solitary wave, triangular periodic, rational, Jacobi and Weierstrass elliptic function periodic solutions are obtained.

AB - In this paper, explicit exact solutions of one type of generalized Boussinesq equations (B(m, n) equations) and the Boussinesq-Burgers equation (B-B equation) are investigated using a generalized algebraic method. A variety of explicit exact solutions, such as solitary wave, triangular periodic, rational, Jacobi and Weierstrass elliptic function periodic solutions are obtained.

KW - Boussinesq equations

KW - Boussinesq-Burgers equation

KW - Explicit exact solutions

KW - Generalized algebraic method

UR - https://www.scopus.com/pages/publications/34248177455

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DO - 10.7498/aps.56.1860

M3 - 文章

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JO - Wuli Xuebao/Acta Physica Sinica

JF - Wuli Xuebao/Acta Physica Sinica

IS - 4

ER -

New explicit exact solutions of one type of generalized Boussinesq equations and the Boussinesq-Burgers equation

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Keywords

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