Solitary wave and shock wave solutions to a second order wave equation of Korteweg-de Vries type

Houria Triki; T. Hayat; Omar M. Aldossary; Anjan Biswas

doi:10.1016/j.amc.2011.03.072

Solitary wave and shock wave solutions to a second order wave equation of Korteweg-de Vries type

Houria Triki
, T. Hayat
, Omar M. Aldossary
, Anjan Biswas

Badji Mokhtar University
Qaid-i-Azam University
King Saud University
Delaware State University

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

5 Scopus citations

Abstract

This paper obtains the solitary wave as well as the shock wave solutions to the second order wave equation of Korteweg-de Vries type that was first proposed in 2002. The ansatz method is used to retrieve these solutions. The domain restrictions as well as the parameter regimes are all identified in the process of obtaining the solution.

Original language	English
Pages (from-to)	8852-8855
Number of pages	4
Journal	Applied Mathematics and Computation
Volume	217
Issue number	21
DOIs	https://doi.org/10.1016/j.amc.2011.03.072
State	Published - 1 Jul 2011
Externally published	Yes

Keywords

Evolution equations
Integrability
Solitons

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10.1016/j.amc.2011.03.072

Cite this

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abstract = "This paper obtains the solitary wave as well as the shock wave solutions to the second order wave equation of Korteweg-de Vries type that was first proposed in 2002. The ansatz method is used to retrieve these solutions. The domain restrictions as well as the parameter regimes are all identified in the process of obtaining the solution.",

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AU - Triki, Houria

AU - Hayat, T.

AU - Aldossary, Omar M.

AU - Biswas, Anjan

PY - 2011/7/1

Y1 - 2011/7/1

N2 - This paper obtains the solitary wave as well as the shock wave solutions to the second order wave equation of Korteweg-de Vries type that was first proposed in 2002. The ansatz method is used to retrieve these solutions. The domain restrictions as well as the parameter regimes are all identified in the process of obtaining the solution.

AB - This paper obtains the solitary wave as well as the shock wave solutions to the second order wave equation of Korteweg-de Vries type that was first proposed in 2002. The ansatz method is used to retrieve these solutions. The domain restrictions as well as the parameter regimes are all identified in the process of obtaining the solution.

KW - Evolution equations

KW - Integrability

KW - Solitons

UR - https://www.scopus.com/pages/publications/79956082441

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ER -

Solitary wave and shock wave solutions to a second order wave equation of Korteweg-de Vries type

Abstract

Keywords

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