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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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آمار تعداد مشاهده مقاله: 65 تعداد دریافت فایل اصل مقاله: 72 |
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