Solitary waves and conservation laws of Bona-Chen equations

A. Biswas; E. V. Krishnan; P. Suarez; A. H. Kara; S. Kumar

doi:10.1007/s12648-012-0208-x

Solitary waves and conservation laws of Bona-Chen equations

A. Biswas^*, E. V. Krishnan, P. Suarez, A. H. Kara, S. Kumar

^*Corresponding author for this work

Mathematics

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

33 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	169-175
Number of pages	7
Journal	Indian Journal of Physics
Volume	87
Issue number	2
DOIs	https://doi.org/10.1007/s12648-012-0208-x
Publication status	Published - Feb 2013

Keywords

Cnoidal waves
Integrability
Solitary waves

ASJC Scopus subject areas

General Physics and Astronomy

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10.1007/s12648-012-0208-x

Cite this

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title = "Solitary waves and conservation laws of Bona-Chen equations",

abstract = "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.",

keywords = "Cnoidal waves, Integrability, Solitary waves",

author = "A. Biswas and Krishnan, {E. V.} and P. Suarez and Kara, {A. H.} and S. Kumar",

year = "2013",

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doi = "10.1007/s12648-012-0208-x",

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T1 - Solitary waves and conservation laws of Bona-Chen equations

AU - Biswas, A.

AU - Krishnan, E. V.

AU - Suarez, P.

AU - Kara, A. H.

AU - Kumar, S.

PY - 2013/2

Y1 - 2013/2

N2 - 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.

AB - 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.

KW - Cnoidal waves

KW - Integrability

KW - Solitary waves

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DO - 10.1007/s12648-012-0208-x

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JO - Indian Journal of Physics

JF - Indian Journal of Physics

IS - 2

ER -

Solitary waves and conservation laws of Bona-Chen equations

Abstract

Keywords

ASJC Scopus subject areas

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