A note on soliton solutions of Klein-Gordon-Zakharov equation by variational approach

Nonlinear engineering: Modeling and application

article

Najeeb Alam Khan¹  Fatima Riaz¹  Asmat Ara² 

[1] Department of Mathematics, University of Karachi;Mohammad Ali Jinnah University

关键词: Variational principle;    Solitary solution;    Klein-Gordon-Zakharov equation (KGZ);   

DOI  :  10.1515/nleng-2016-0001

来源: De Gruyter

【 摘 要 】

In this paper, an investigation has been made to validate the variational approach to obtain soliton solutions of the Klein-Gordon-Zakharov (KGZ) equations. It is evident that to resolve the non-linear partial differential equations are quite complex and difficult. The presented approach is capable of achieving the condition for continuation of the solitary solution of KGZ equation as well as the initial solutions selected in soliton form including various unknown parameters can be resolute in the solution course of action. The procedure of attaining the solution reveals that the scheme is simple and straightforward.

【 授权许可】

Unknown