Topological Soliton Solution and Bifurcation Analysis of the Klein-Gordon-Zakharov Equation in(1+1)-Dimensions with Power Law Nonlinearity-Reference-Cited by-同舟云学术

Topological Soliton Solution and Bifurcation Analysis of the Klein-Gordon-Zakharov Equation in(1+1)-Dimensions with Power Law Nonlinearity

Published:2013 Issue: Volume:2013 Page:1-7
ISSN:1110-757X
Container-title:Journal of Applied Mathematics
language:en
Short-container-title:Journal of Applied Mathematics

Author:

Song Ming¹,Ahmed Bouthina S.²,Biswas Anjan³⁴

Affiliation:

1. Department of Mathematics, Yuxi Normal University, Yuxi, Yunnan 653100, China

2. Department of Mathematics, Girls' College, Ain Shams University, Cairo 11757, Egypt

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

4. Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia

Abstract

This paper addresses the Klein-Gordon-Zakharov equation with power law nonlinearity in (1+1)-dimensions. The integrability aspect as well as the bifurcation analysis is studied in this paper. The numerical simulations are also given where the finite difference approach was utilized. There are a few constraint conditions that naturally evolve during the course of derivation of the soliton solutions. These constraint conditions must remain valid in order for the soliton solution to exist. For the bifurcation analysis, the phase portraits are also given.

Publisher

Hindawi Limited

Subject

Applied Mathematics

Link

http://downloads.hindawi.com/journals/jam/2013/972416.pdf

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