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 journalArticlepeer-review

37 Citations (Scopus)


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
Issue number4
Publication statusPublished - 2012
Externally publishedYes


  • Shallow water waves
  • Solitary wave ansatze

ASJC Scopus subject areas

  • Modelling and Simulation
  • Applied Mathematics


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