Open Access
Translator Disclaimer
2013 Topological Soliton Solution and Bifurcation Analysis of the Klein-Gordon-Zakharov Equation in (1+1)-Dimensions with Power Law Nonlinearity
Ming Song, Bouthina S. Ahmed, Anjan Biswas
J. Appl. Math. 2013: 1-7 (2013). DOI: 10.1155/2013/972416

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.

Citation

Download Citation

Ming Song. Bouthina S. Ahmed. Anjan Biswas. "Topological Soliton Solution and Bifurcation Analysis of the Klein-Gordon-Zakharov Equation in (1+1)-Dimensions with Power Law Nonlinearity." J. Appl. Math. 2013 1 - 7, 2013. https://doi.org/10.1155/2013/972416

Information

Published: 2013
First available in Project Euclid: 14 March 2014

zbMATH: 1266.35009
MathSciNet: MR3032268
Digital Object Identifier: 10.1155/2013/972416

Rights: Copyright © 2013 Hindawi

JOURNAL ARTICLE
7 PAGES


SHARE
Vol.2013 • 2013
Back to Top