Solitary wave solutions of the Vakhnenko-Parkes equation

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

doi:10.15388/na.17.1.14078

Solitary wave solutions of the Vakhnenko-Parkes equation

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

Alabama A and M University
Badji Mokhtar University
Qaid-i-Azam University
King Saud University
Delaware State University

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

15 Scopus citations

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.

Original language	English
Pages (from-to)	60-65
Number of pages	6
Journal	Nonlinear Analysis: Modelling and Control
Volume	17
Issue number	1
DOIs	https://doi.org/10.15388/na.17.1.14078
State	Published - Feb 2012
Externally published	Yes

Keywords

Integrability
Nonlinear evolution equation
Solitons

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10.15388/na.17.1.14078

Cite this

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title = "Solitary wave solutions of the Vakhnenko-Parkes equation",

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.",

keywords = "Integrability, Nonlinear evolution equation, Solitons",

author = "Fayequa Majid and Houria Triki and Tasawar Hayat and Aldossary, \{Omar M.\} and Anjan Biswas",

year = "2012",

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AU - Majid, Fayequa

AU - Triki, Houria

AU - Hayat, Tasawar

AU - Aldossary, Omar M.

AU - Biswas, Anjan

PY - 2012/2

Y1 - 2012/2

N2 - 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.

AB - 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.

KW - Integrability

KW - Nonlinear evolution equation

KW - Solitons

UR - https://www.scopus.com/pages/publications/84857711706

U2 - 10.15388/na.17.1.14078

DO - 10.15388/na.17.1.14078

M3 - Article

AN - SCOPUS:84857711706

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SP - 60

EP - 65

JO - Nonlinear Analysis: Modelling and Control

JF - Nonlinear Analysis: Modelling and Control

IS - 1

ER -

Solitary wave solutions of the Vakhnenko-Parkes equation

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Keywords

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