Stability Analysis of Traveling Wave Solutions for Generalized Coupled Nonlinear KdV Equations

Authors

Aly Seadawy, Mathematics Department, Faculty of science, Taibah University, Al-Ula, Saudi Arabia\\ Mathematics Department, Faculty of Science, Beni-Suef University, EgyptFollow

Author Country (or Countries)

Egypt

Abstract

In the present paper, an extended algebraic method is used for constructing exact traveling wave solutions for generalized coupled nonlinear KdV equations. By implementing the extended direct algebraic method, new exact solutions of the generalized coupled KdV equations are obtained. The present results are describing the generation and evolution of such waves, their interactions, and their stability. Moreover, the method can be applied to a wide class of coupled nonlinear evolution equations. The present traveling wave solutions have applications in physics.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/100120

Recommended Citation

Seadawy, Aly (2016) "Stability Analysis of Traveling Wave Solutions for Generalized Coupled Nonlinear KdV Equations," Applied Mathematics & Information Sciences: Vol. 10: Iss. 1, Article 20.
DOI: http://dx.doi.org/10.18576/amis/100120
Available at: https://digitalcommons.aaru.edu.jo/amis/vol10/iss1/20