Solitary waves and conservation laws of Bona-Chen equations

被引：32

作者：

Biswas, A. ^{[1
]}

Krishnan, E. V. ^{[2
]}

Suarez, P. ^{[1
]}

Kara, A. H. ^{[3
]}

Kumar, S. ^{[4
]}

机构：

[1] Delaware State Univ, Dept Math Sci, Dover, DE 19901 USA

[2] Sultan Qaboos Univ, Dept Math & Stat, Muscat 123, Oman

[3] Univ Witwatersrand, Sch Math, ZA-2050 Johannesburg, South Africa

[4] Bahra Fac Engn, Dept Appl Sci, Patiala 147001, Punjab, India

来源：

INDIAN JOURNAL OF PHYSICS | 2013年 / 87卷 / 02期

关键词：

Solitary waves; Integrability; Cnoidal waves; COUPLED DUSTY PLASMAS; SOLITONS; CHARGE; SYSTEM; KDV;

D O I：

10.1007/s12648-012-0208-x

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

This paper obtains the solitary wave solution of the Bona-Chen equation which is a coupled system of nonlinear evolution equation that arises in the study of shallow water waves flow. The ansatz method and Jacobi elliptic function method are used to obtain the solutions. The conservation law of the equation is obtained by the multiplier method. Finally, the numerical simulations are also given.

引用

页码：169 / 175

页数：7

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