Applications of First Integral Method to Some Complex Nonlinear Evolution Systems

Authors

Marwan Alquran, Department of Mathematics and Statistics, Jordan University of Science and Technology, Irbid 22110, JordanFollow
Qutaibeh Katatbeh, Department of Mathematics and Statistics, Jordan University of Science and Technology, Irbid 22110, JordanFollow
Banan Al-Shrida, Department of Mathematics and Statistics, Jordan University of Science and Technology, Irbid 22110, JordanFollow

Author Country (or Countries)

Jordan

Abstract

The aim of the present paper is to study nonlinear system of partial differential equations (PDEs) involving both complexand real-valued unknown functions. We shall extend the use of the first integral method ”based on the theory of commutative algebra” to construct new solutions to the coupled Higgs field equations, the Davey-Sterwatson (DS) equations and the coupled Klein-Gordon- Zakharov equations. All the algebraic computations in this work are performed using Mathematica software.

Recommended Citation

Alquran, Marwan; Katatbeh, Qutaibeh; and Al-Shrida, Banan (2015) "Applications of First Integral Method to Some Complex Nonlinear Evolution Systems," Applied Mathematics & Information Sciences: Vol. 09: Iss. 2, Article 31.
Available at: https://digitalcommons.aaru.edu.jo/amis/vol09/iss2/31