For EDITORS

For READERS

All Issues

Vol.15, 2025
Vol.14, 2024
Vol.10, 2020
Vol.9, 2019
Vol.8, 2018
Vol.7, 2017
Vol.6, 2016
Vol.5, 2015
Vol.4, 2014
Vol.3, 2013
Vol.2, 2012
Vol.1, 2011
Volume 4, Number 3, 2014, Pages 221-229                                                                DOI:10.11948/2014010
Soliton solutions of shallow water wave equations by means of G′/G expansion method
Marwan Alquran,Aminah Qawasmeh
Keywords:Shallow water wave equations, G′/G expansion method.
Abstract:
      In this work, we investigate the traveling wave solutions for some generalized nonlinear equations: The generalized shallow water wave equation and the Whitham-Broer-Kaup model for dispersive long waves in the shallow water small-amplitude regime. We use the $G'/G$ expansion method to determine different soliton solutions of these models. The conditions of existence and uniqueness of exact solutions are also presented.
PDF      Download reader