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Evolutions in Mechanical Engineering

On Soliton Solutions of the Drinfeld-Sokolov- Wilson System by He’s Variational Principle

Submission: November 29, 2018; Published: April 4, 2019

DOI: 10.31031/EME.2019.02.000543

ISSN: 2640-9690
Volume2 Issue4


The aim of this paper is to obtain the traveling wave solutions for the Drinfeld-Sokolov-Wilson system by He’s semi-inverse variational principle which includes the solitary and periodic wave solutions by a suitable choice for the parameters. We analysis these solutions physically by some gores to complement this study. Finally, this method can be used successfully for solving integrable and nonintegrable equations.

Keywords: He’s semi-inverse variational principle; Traveling wave solutions; Dronfield-Sokolov-Wilson system; Soliton solutions; Periodic wave solutions

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