Construction of Soliton Solutions for Chaffee-Infante Equation

Year 2021, Volume: 21 Issue: 5, 1046 - 1051, 31.10.2021

Şeyma Tülüce Demiray , Uğur Bayrakcı

https://doi.org/10.35414/akufemubid.946217

Cited By: 5

Abstract

In this article, has been studied on the Chaffee-Infante equation and soliton solutions of these equation are examined. In accordance with this purpose, The sine-Gordon expansion method, which is one of the solution methods of nonlinear partial differential equations, was used. Also graphical representation of the obtained results of the specified equation is made using Wolfram Mathematica 12 for certain values and thus the conformity of the founded results has been demonstrated.

Keywords

Chafee-Infante equation, Sine-Gordon expansion method, Soliton solutions, Exact solutions

Chaffee-Infante Denklemi için Soliton Çözümlerinin Oluşturulması

Abstract

Bu makalede, Chaffee-Infante denklemi üzerinde çalışılmıştır ve bu denklemin soliton çözümleri incelenmiştir. Bu amaç doğrultusunda, lineer olmayan kısmi diferansiyel denklemlerin çözüm yöntemlerinden biri olan sine-Gordon açılım yöntemi kullanılmıştır. Ayrıca belirtilen denklemin elde edilen sonuçlarının grafiksel gösterimi belli değerler için Wolfram Mathematica 12 programı kullanılarak yapılmış ve böylece bulunan sonuçların uygunluğu gösterilmiştir.

Keywords

Chaffee-Infante Denklemi, Sine-Gordon açılım metodu, Soliton çözümler, Tam çözümler

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