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.",

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AU - Shen, Jian Wei

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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

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ER -

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

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