On analytical solutions of the ZK equation and related equations by using the generalized ( G′/G )-expansion method
نویسندگان
1 Kazan Federal University, Kazan, Russia.
2 Don State Technical University, Rostov-on-Don, Russia.
3 Kuban State University, Krasnodar, Russia.
4 Peoples' Friendship University of Russia (RUDN University), Moscow, Russia.
5 Gubkin Russian State University of Oil and Gas, Moscow, Russia.
doi
10.22034/cmde.2024.61348.2635چکیده
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.
