Publication: A novel scheme for SMCH equation with two different approaches
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Date
2023-01-01
Authors
Authors
Akbulut, Arzu
İslam, S. M. Rayhanul
Arafat, S. M. Yasir
Taşcan, Filiz
Journal Title
Journal ISSN
Volume Title
Publisher
Univ Tabriz
Abstract
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.
Description
Keywords
Wave solutions, Camassa, Solitons, Smch equation, The improved f-expansion method, The unified method, Symbolic computation, Exact solution, Solitary wave, Mathematics