In this paper, the kudryashov method has been used for finding the general exact solutions of nonlinear evolution equations that namely the (3 + 1)-dimensional Jimbo-Miwa equation and the (3 + 1)-dimensional potential YTSF equation, when the simplest equation is the equation of Riccati.

A modified (G′/G)-expansion method is proposed to construct exact solutions of nonlinear evolution equations. To illustrate the validity and advantages of the method, the (3+1)-dimensional potential Yu-Toda-Sasa-Fukuyama (YTSF) equation is considered and more general travelling wave solutions are obtained. Some of the obtained solutions, namely hyperbolic function solutions, trigonometric funct...

In this article, a new extended (G'/G) -expansion method has been proposed for constructing more general exact traveling wave solutions of nonlinear evolution equations with the aid of symbolic computation. In order to illustrate the validity and effectiveness of the method, we pick the (3 + 1)-dimensional potential-YTSF equation. As a result, abundant new and more general exact solutions have ...

Abstract: In this paper, we demonstrate the effectiveness of the (G ′ G )-expansion method by seeking more exact solutions of the SRLW equation, the (2+1) dimensional PKP equation and the (3+1) dimensional potential-YTSF equation. By the method, the two nonlinear evolution equations are separately reduced to non-linear ordinary differential equations (ODE) by using a simple transformation. As a...

the importance of constructing the appropriate green function to solve a wide range of problems inelectromagnetics and partial differential equations is well-recognized by those dealing with classical electrodynamics and related fields. although the subject of obtaining the green function for certain geometries has been extensively studied and addressed in numerous sources, in this paper a syst...

Bu çalışmada, (3 + 1) boyutlu potansiyel Yu-Toda-Sasa-Fukuyama (YTSF) denkleminin hareketli dalga çözümleri, modifiye üstel fonksiyon yöntemi (MEFM) kullanılarak elde edilmiştir. Bulunan çözüm fonksiyonları incelendiğinde trigonometrik, hiperbolik ve rasyonel fonksiyonların olduğu görülmektedir. Elde edilen fonksiyonları, denklemini sağlayan Wolfram Mathematica yazılımı ile kontrol edildi. Uygu...