Soliton Solutions, Conservation Laws, and Reductions of Certain Classes of NonlinearWave Equations-Reference-Cited by-同舟云学术

Soliton Solutions, Conservation Laws, and Reductions of Certain Classes of NonlinearWave Equations

Published:2012-11-01 Issue:10-11 Volume:67 Page:613-620
ISSN:1865-7109
Container-title:Zeitschrift für Naturforschung A
language:en
Short-container-title:

Author:

Morris Richard¹,Kar Abdul Hamid¹,Chowdhury Abhinandan²,Biswas Anjan²

Affiliation:

1. School of Mathematics, University of the Witwatersrand, Wits 2050, Johannesburg, South Africa

2. Department of Mathematical Sciences, Delaware State University, Dover, DE 19901-2277, USA

Abstract

In this paper, the soliton solutions and the corresponding conservation laws of a few nonlinear wave equations will be obtained. The Hunter-Saxton equation, the improved Korteweg-de Vries equation, and other such equations will be considered. The Lie symmetry approach will be utilized to extract the conserved densities of these equations. The soliton solutions will be used to obtain the conserved quantities of these equations.

Publisher

Walter de Gruyter GmbH

Subject

Physical and Theoretical Chemistry,General Physics and Astronomy,Mathematical Physics

Link

https://www.degruyter.com/document/doi/10.5560/zna.2012-0071/pdf

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