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

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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