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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.

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