Further extension of the generalized and improved (G′/G)-expansion method for nonlinear evolution equation
نویسندگان
چکیده
منابع مشابه
Further extension of the generalized and improved (Gâ€2/G)-expansion method for nonlinear evolution equation
Further extension of the generalized and improved (G0/G)-expansion method; Nonlinear ordinary differential equation; ZKBBM equation; Travelling wave solutions Abstract In this article, the generalized and improved (G0/G)-expansion method has been proposed for further extension to generate many new travelling wave solutions. In addition, nonlinear ordinary differential equation is implemented as...
متن کاملThe Generalized and Improved (G'/G)-Expansion Method with the Jacobi Elliptic Equation for Exact Solutions of Nonlinear Evolution Equations
Submitted: Mar 2, 2013; Accepted: Apr 10, 2013; Published: Jun 10, 2013 Abstract: In this article, we present a variant approach of the generalized and improved (G'/G)–expansion method and construct some new exact traveling wave solutions with free parameters of the nonlinear evolution equations, via the Painleve integrable Burgers equation, the Boiti-Leon-Pempinelle equation and the Pochhammer...
متن کاملTraveling Wave Solutions for the Nonlinear Evolution Equation via the Generalized Riccati Equation and the (G'/G)-Expansion Method
In this article, we investigate the simplified Modified Camassa-Holm (MCH) equation involving parameters by applying the (G'/G)-expansion method together with the generalized Riccati equation. In addition, G'( ) = c + aG( ) + bG ( ) is used, as an auxiliary equation and called generalized Riccati equation, where a, 2 b and c are arbitrary constants. The obtained traveling wave solutions includi...
متن کاملA Generalized and Improved G′/G -Expansion Method for Nonlinear Evolution Equations
A generalized and improved G′/G -expansion method is proposed for finding more general type and new travelling wave solutions of nonlinear evolution equations. To illustrate the novelty and advantage of the proposed method, we solve the KdV equation, the Zakharov-KuznetsovBenjamin-Bona-Mahony ZKBBM equation and the strain wave equation in microstructured solids. Abundant exact travelling wave s...
متن کاملA note on improved F-expansion method combined with Riccati equation applied to nonlinear evolution equations
The purpose of this article is to present an analytical method, namely the improved F-expansion method combined with the Riccati equation, for finding exact solutions of nonlinear evolution equations. The present method is capable of calculating all branches of solutions simultaneously, even if multiple solutions are very close and thus difficult to distinguish with numerical techniques. To ver...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of the Association of Arab Universities for Basic and Applied Sciences
سال: 2016
ISSN: 1815-3852
DOI: 10.1016/j.jaubas.2014.05.005