A novel scheme for SMCH equation with two different approaches

Akbulut, Arzu; Islam, Rayhanul; Arafat, Yiasir; Taşcan, Filiz

doi:10.22034/cmde.2022.50363.2093

فهرست نشریات دارای اعتبار وزارت علوم، تحقیقات و فناوری

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	A novel scheme for SMCH equation with two different approaches
Computational Methods for Differential Equations
مقاله 5، دوره 11، شماره 2، تیر 2023، صفحه 263-280 اصل مقاله (888.04 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2022.50363.2093
نویسندگان
Arzu Akbulut ¹؛ Rayhanul Islam²؛ Yiasir Arafat²؛ Filiz Taşcan³
¹Department of Mathematics, Faculty of Arts and Science, Bursa Uludag University, Bursa, Turkey.
²Department of Mathematics, Pabna University of Science and Technology, Pabna-Bangladesh.
³Faculty of Arts and Science, Department of Mathematics and Computer, Eski¸sehir Osmangazi University, Eskisehir, Turkey.
چکیده
In this study, the unified and improved F-expansion methods are applied to derive exact traveling wave solutions of the simplified modified Camassa-Holm (SMCH) equation. The current methods can calculate all branches of solutions at the same time, even if several solutions are quite near and therefore impossible to identify via numerical methods. All obtained solutions are given by hyperbolic, trigonometric, and rational function solutions which obtained solutions are useful for real-life problems in fluid dynamics, optical fibers, plasma physics and so on. The two-dimensional (2D) and three-dimensional (3D) graphs of the obtained solutions are plotted. Finally, we can state that these strategies are extremely successful, dependable, and simple. These ideas might potentially be applied to many nonlinear evolution models in mathematics and physics.
کلیدواژه‌ها
SMCH equation؛ The improved F-expansion method؛ The unified method؛ Symbolic computation؛ Exact solution؛ Solitary wave

مراجع
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A novel scheme for SMCH equation with two different approaches