Analytical Methods for Nonlinear Evolution Equations in Mathematical Physics

Khaled A. Gepreel
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Khaled A. Gepreel: Mathematics Department, Faculty of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia

Mathematics, 2020, vol. 8, issue 12, 1-14

Abstract: In this article, we will apply some of the algebraic methods to find great moving solutions to some nonlinear physical and engineering questions, such as a nonlinear (1 + 1) Ito integral differential equation and (1 + 1) nonlinear Schrödinger equation. To analyze practical solutions to these problems, we essentially use the generalized expansion approach. After various W and G options, we get several clear means of estimating the plentiful nonlinear physics solutions. We present a process like-direct expansion process-method of expansion. In the particular case of W ′ = λ G , G ′ = μ W in which λ and μ are arbitrary constants, we use the expansion process to build some new exact solutions for nonlinear equations of growth if it fulfills the decoupled differential equations.

Keywords: direct algebraic methods; nonlinear Ito integro-differential equation; dispersive nonlinear schrodinger equation; exact solutions (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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