Solitary wave solutions to shallow water waves arising in fluid dynamics

Marwan Alquran, Mohammed Ali, Kamel Al-Khaled

Research output: Contribution to journalArticle

19 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)555-562
Number of pages8
JournalNonlinear Studies
Volume19
Issue number4
Publication statusPublished - 2012

Fingerprint

Shallow Water Waves
Solitary Wave Solution
Water waves
Wave equations
Fluid Dynamics
Fluid dynamics
Solitons
Wave equation
Nonlinear Wave Equation
Kink
Solitary Waves
Korteweg-de Vries Equation
Algebraic Equation
Korteweg-de Vries equation
Nonlinear Problem
Periodic Solution

Keywords

  • Shallow water waves
  • Solitary wave ansatze

ASJC Scopus subject areas

  • Applied Mathematics
  • Modelling and Simulation

Cite this

Alquran, M., Ali, M., & Al-Khaled, K. (2012). Solitary wave solutions to shallow water waves arising in fluid dynamics. Nonlinear Studies, 19(4), 555-562.

Solitary wave solutions to shallow water waves arising in fluid dynamics. / Alquran, Marwan; Ali, Mohammed; Al-Khaled, Kamel.

In: Nonlinear Studies, Vol. 19, No. 4, 2012, p. 555-562.

Research output: Contribution to journalArticle

Alquran, M, Ali, M & Al-Khaled, K 2012, 'Solitary wave solutions to shallow water waves arising in fluid dynamics', Nonlinear Studies, vol. 19, no. 4, pp. 555-562.
Alquran, Marwan ; Ali, Mohammed ; Al-Khaled, Kamel. / Solitary wave solutions to shallow water waves arising in fluid dynamics. In: Nonlinear Studies. 2012 ; Vol. 19, No. 4. pp. 555-562.
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