On analytical solutions of the ZK equation and related equations by using the generalized (GG0 )-expansion method

The generalized (GG0 )-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. © 2025 University of Tabriz. All rights reserved.

Авторы
Telezhko I. , Dengaev A. , Iarkhamova A. , Revyakina E. , Kolcova N.
Издательство
University of Tabriz
Номер выпуска
1
Язык
Английский
Страницы
258-270
Статус
Опубликовано
Том
13
Год
2025
Организации
  • 1 Peoples’ Friendship University of Russia (RUDN University), Moscow, Russian Federation
  • 2 Gubkin Russian State University of Oil and Gas, Moscow, Russian Federation
  • 3 Kazan Federal University, Kazan, Russian Federation
  • 4 Don State Technical University, Rostov-on-Don, Russian Federation
  • 5 Kuban State University, Krasnodar, Russian Federation
Ключевые слова
Generalized (<sup>G</sup><sub>G</sub><sup>0</sup> )-expansion method; Generalized Zakharov-Kuznetsov equation; Traveling wave solution; Zakharov–Kuznetsov equation
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