Solitary wave solutions to shallow water waves arising in fluid dynamics

Marwan Alquran; Mohammed Ali; Kamel Al-Khaled

Solitary wave solutions to shallow water waves arising in fluid dynamics

Marwan Alquran^*, Mohammed Ali, Kamel Al-Khaled

^*Corresponding author for this work

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

37 Citations (Scopus)

Abstract

In this paper, we apply two solitary wave ansatze in terms of sech^p(v) and tanh^p(v), to obtain kink and periodic solutions of some important nonlinear wave equations such as the general equal width wave equation (GEWE), general regularized long wave equation (GRLW) and the general improved Korteweg-de Vries equation (GIKdV). By means of these methods, we have the advantage of reducing the nonlinear problem to a system of algebraic equations, that can be solved by any computerized packages.

Original language	English
Pages (from-to)	555-562
Number of pages	8
Journal	Nonlinear Studies
Volume	19
Issue number	4
Publication status	Published - 2012
Externally published	Yes

Keywords

Shallow water waves
Solitary wave ansatze

ASJC Scopus subject areas

Modelling and Simulation
Applied Mathematics

Cite this

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AU - Alquran, Marwan

AU - Ali, Mohammed

AU - Al-Khaled, Kamel

PY - 2012

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AB - In this paper, we apply two solitary wave ansatze in terms of sechp(v) and tanhp(v), to obtain kink and periodic solutions of some important nonlinear wave equations such as the general equal width wave equation (GEWE), general regularized long wave equation (GRLW) and the general improved Korteweg-de Vries equation (GIKdV). By means of these methods, we have the advantage of reducing the nonlinear problem to a system of algebraic equations, that can be solved by any computerized packages.

KW - Shallow water waves

KW - Solitary wave ansatze

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JO - Nonlinear Studies

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ER -

Solitary wave solutions to shallow water waves arising in fluid dynamics

Abstract

Keywords

ASJC Scopus subject areas

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