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Kazakov, Oleg, Uteuliyev, Nurgali, Denisova, Diana, Shangaraeva, Liya, Vukovich, Galina. (1403). Application of a new method for nonlinear partial differential equations of fractional order arising in fluid mechanics. سامانه مدیریت نشریات علمی, 13(1), 1-12. doi: 10.22034/cmde.2024.60583.2594
Oleg Kazakov; Nurgali Uteuliyev; Diana Denisova; Liya Shangaraeva; Galina Vukovich. "Application of a new method for nonlinear partial differential equations of fractional order arising in fluid mechanics". سامانه مدیریت نشریات علمی, 13, 1, 1403, 1-12. doi: 10.22034/cmde.2024.60583.2594
Kazakov, Oleg, Uteuliyev, Nurgali, Denisova, Diana, Shangaraeva, Liya, Vukovich, Galina. (1403). 'Application of a new method for nonlinear partial differential equations of fractional order arising in fluid mechanics', سامانه مدیریت نشریات علمی, 13(1), pp. 1-12. doi: 10.22034/cmde.2024.60583.2594
Kazakov, Oleg, Uteuliyev, Nurgali, Denisova, Diana, Shangaraeva, Liya, Vukovich, Galina. Application of a new method for nonlinear partial differential equations of fractional order arising in fluid mechanics. سامانه مدیریت نشریات علمی, 1403; 13(1): 1-12. doi: 10.22034/cmde.2024.60583.2594

Application of a new method for nonlinear partial differential equations of fractional order arising in fluid mechanics

Computational Methods for Differential Equations
مقاله 1، دوره 13، شماره 1، فروردین 2025، صفحه 1-12    اصل مقاله (473.27 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2024.60583.2594
نویسندگان
Oleg Kazakov* 1؛ Nurgali Uteuliyev2؛ Diana Denisova3؛ Liya Shangaraeva4؛ Galina Vukovich5
1Bryansk State University of Engineering and Technology, Russia.
2M. Auezov South Kazakhstan University, Shymkent, Kazakhstan.
3Russian State Social University, Moscow, Russia.
4Kazan Federal University, Kazan, Russia.
5Kuban State University, Krasnodar, Russia.
چکیده
In this work, we established some exact solutions for the (2+1)-dimensional Zakharov-Kuznetsov, KdV, and K(2,2) equations which are considered based on the improved Exp-function method, by utilizing Maple software. We use the fractional derivatives with fractional complex transform. We obtained new periodic solitary wave solutions. The obtained solutions include three classes of soliton wave solutions in terms of hyperbolic function, trigonometric function, and rational function solutions. The obtained solutions and the exact solutions are shown graphically, highlighting the effects of non-linearity. Many other such types of nonlinear equations arising in fluid dynamics and nonlinear phenomena.
کلیدواژه‌ها
Exp-function method(EFM)؛ Zakharov-Kuznetsov؛ KdV؛ K(2؛ 2)
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