Solitary wave solutions of the Vakhnenko–Parkes equation

Fayequa Majid; Houria Triki; Tasawar Hayat; Omar M. M. Aldossary; Anjan Biswas

doi:10.15388/NA.17.1.14078

Articles

Fayequa Majid

Alabama Agricultural and Mechanical University, USA

Houria Triki

Badji Mokhtar University, Algeria

Tasawar Hayat

Qaid-i-Azam University, Pakistan

Omar M. M. Aldossary

King Saud University, Saudi Arabia

Anjan Biswas

Delaware State University, USA

Published 2012-01-25

https://doi.org/10.15388/NA.17.1.14078

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Keywords

nonlinear evolution equation
solitons
integrability

How to Cite

Majid, F. (2012) “Solitary wave solutions of the Vakhnenko–Parkes equation”, Nonlinear Analysis: Modelling and Control, 17(1), pp. 60–66. doi:10.15388/NA.17.1.14078.

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Abstract

In this paper, two solitary wave solutions are obtained for the Vakhnenko–Parkes equation with power law nonlinearity by the ansatz method. Both topological as well as non-topological solitary wave solutions are obtained. The parameter regimes, for the existence of solitary waves, are identified during the derivation of the solution.

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