Title of article :
On analytical solutions of the ZK equation and related equations by using the generalized ( G′/G )-expansion method
Author/Authors :
Telezhko ، Irina , Dengaev ، Alexey Gubkin Russian State University of Oil and Gas , Iarkhamova ، Alfiia Kazan Federal University , Revyakina ، Elena Don State Technical University , Kolcova ، Nadezhda Kuban State University
Abstract :
The generalized ( G′/G )-expansion method with the aid of Maple is proposed to seek exact solutions of nonlinear evolution equations. For finding exact solutions are expressed three types of solutions that include hyperbolic function solution, trigonometric function solution, and rational solution. The article studies the Zakharov–Kuznetsov (ZK) equation, the generalized ZK (gZK) equation, and the generalized forms of these equations. Exact solutions with traveling wave solutions of nonlinear evolution equations are obtained. It is shown that the proposed method is direct, effective and can be used for many other nonlinear evolution equations.
Keywords :
Generalized ( G′ , G )-expansion method , Zakharov–Kuznetsov equation , Generalized Zakharov-Kuznetsov equation , Traveling wave solution
Journal title :
Computational Methods for Differential Equations
Journal title :
Computational Methods for Differential Equations
