Application of Kudryashov Method to Some Equations Used in Physics Science

Year 2019, Volume: 12 Issue: 3, 1485 - 1492, 31.12.2019

Guldem Yıldız

https://doi.org/10.18185/erzifbed.566013

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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