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Telezhko, Irina, Dengaev, Alexey, Iarkhamova, Alfiia, Revyakina, Elena, Kolcova, Nadezhda. (1403). On analytical solutions of the ZK equation and related equations by using the generalized ( G′/G )-expansion method. سامانه مدیریت نشریات علمی, 13(1), 258-270. doi: 10.22034/cmde.2024.61348.2635
Irina Telezhko; Alexey Dengaev; Alfiia Iarkhamova; Elena Revyakina; Nadezhda Kolcova. "On analytical solutions of the ZK equation and related equations by using the generalized ( G′/G )-expansion method". سامانه مدیریت نشریات علمی, 13, 1, 1403, 258-270. doi: 10.22034/cmde.2024.61348.2635
Telezhko, Irina, Dengaev, Alexey, Iarkhamova, Alfiia, Revyakina, Elena, Kolcova, Nadezhda. (1403). 'On analytical solutions of the ZK equation and related equations by using the generalized ( G′/G )-expansion method', سامانه مدیریت نشریات علمی, 13(1), pp. 258-270. doi: 10.22034/cmde.2024.61348.2635
Telezhko, Irina, Dengaev, Alexey, Iarkhamova, Alfiia, Revyakina, Elena, Kolcova, Nadezhda. On analytical solutions of the ZK equation and related equations by using the generalized ( G′/G )-expansion method. سامانه مدیریت نشریات علمی, 1403; 13(1): 258-270. doi: 10.22034/cmde.2024.61348.2635

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

Computational Methods for Differential Equations
مقاله 19، دوره 13، شماره 1، فروردین 2025، صفحه 258-270    اصل مقاله (380 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2024.61348.2635
نویسندگان
Irina Telezhko* 1؛ Alexey Dengaev2؛ Alfiia Iarkhamova3؛ Elena Revyakina4؛ Nadezhda Kolcova5
1Peoples' Friendship University of Russia (RUDN University), Moscow, Russia.
2Gubkin Russian State University of Oil and Gas, Moscow, Russia.
3Kazan Federal University, Kazan, Russia.
4Don State Technical University, Rostov-on-Don, Russia.
5Kuban State University, Krasnodar, Russia.
چکیده
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.
کلیدواژه‌ها
Generalized ( G′/G )-expansion method؛ Zakharov–Kuznetsov equation؛ Generalized Zakharov-Kuznetsov equation؛ Traveling wave solution
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