SOLITON SOLUTIONS OF SHALLOW WATER WAVE EQUATIONS BY MEANS OF G'/G EXPANSION METHOD | Zendy

Marwan Alquran | Zendy; Aminah Qawasmeh | Zendy

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SOLITON SOLUTIONS OF SHALLOW WATER WAVE EQUATIONS BY MEANS OF <i>G'/G</i> EXPANSION METHOD

Author(s) -

Marwan Alquran,

Aminah Qawasmeh

Publication year - 2014

Publication title -

journal of applied analysis and computation

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.55

H-Index - 21

eISSN - 2158-5644

pISSN - 2156-907X

DOI - 10.11948/2014010

Subject(s) - waves and shallow water , soliton , uniqueness , mathematical analysis , mathematics , amplitude , traveling wave , periodic wave , nonlinear system , shallow water equations , mathematical physics , work (physics) , physics , thermodynamics , optics , quantum mechanics

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.

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