Some Exact Solutions of Caudrey-Dodd-Gibbon (CDG) Equation and Dodd-Bullough-Mikhailov Equation

Year 2019, Volume: 8 Issue: 1, 60 - 65, 12.03.2019

Ünal İç

https://doi.org/10.17798/bitlisfen.480896

Abstract

Nonlinear partial differential equations have an
important place in applied mathematics and physics. Many analytical methods
have been found in literature. Using these methods, partial differential
equations are transformed into ordinary differential equations. These nonlinear
partial differential equations are solved with the help of ordinary
differential equations. In this paper, we implemented an improved tanh function
Method for some exact solutions of Caudrey-Dodd-Gibbon (CDG) Equation and
Dodd-Bullough-Mikhailov Equation.

Keywords

Caudrey-Dodd-Gibbon (CDG) Equation, Dodd-Bullough-Mikhailov Equation, improved tanh function method, exact solutions

Caudrey-Dodd-Gibbon (CDG) Denklemi ve Dodd-Bullough-Mikhailov Denkleminin Bazı Kesin Çözümleri

Abstract

Uygulamalı matematik ve fizikte doğrusal olmayan kısmi
diferansiyel denklemler önemli bir yere sahiptir. Literatürde birçok analitik
yöntem bulunmuştur. Bu yöntemleri kullanarak, kısmi diferansiyel denklemler,
adi diferansiyel denklemlere dönüştürülür. Bu doğrusal olmayan kısmi
diferansiyel denklemler, adi diferansiyel denklemlerin yardımıyla çözülmüştür. Bu
çalışmada, Caudrey-Dodd-Gibbon (CDG) Denklemi ve Dodd-Bullough-Mikhailov
Denkleminin kesin çözümleri için geliştirilmiş tanh fonksiyon metodu
sunulmuştur.

Keywords

Caudrey-Dodd-Gibbon (CDG) Denklemi, Dodd-Bullough-Mikhailov Denklemi, geliştirilmiş tanh fonksiyon metodu, tam çözümler

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