Application of Kudryashov Method to Some Equations Used in Physics Science

Abstract

In this study, Kudryashov Method is used to find the wave solutions of the Gardner equation, fifth order Caudrey-Dodd-Gibbon equation and Sawada-Kotera equation, which are non-linear partial differential equations used as a mathematical model in the physics science field and engineering applications. The exact solutions obtained are compared with the results in the literature and hyperbolic type and soliton solutions are obtained.

Keywords

• Caudrey-Dodd-Gibbon equation,Gardner equation,,Kudryashov Method,Sawada-Kotera equation

Fizik Biliminde Kullanılan Bazı Denklemlere Kudryashov Metodun Uygulanması

Abstract

Bu çalışmada fizik bilim alanında ve mühendislik uygulamalarında matematiksel model olarak kullanılan lineer olmayan kısmi türevli diferansiyel denklemlerden Gardner denklemi, beşinci mertebeden Caudrey-Dodd-Gibbon denklemi ve Sawada-Kotera denkleminin dalga çözümlerini bulmak için Kudryashov Metot kullanılmıştır. Elde edilen tam çözümler literatürde bulunan sonuçlarla karşılaştırılmış ve hiperbolik tip ve soliton çözümler elde edilmiştir.

Keywords

• Caudrey-Dodd-Gibbon denklemi,,Gardner denklemi,,Kudryashov Metot

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