In this article, with the help of the new Kudryashov method, we examine general solutions to the (2+1)-dimensional Sawada-Kotera equation (SKE) and Kaup-Kupershmidt (KK) equation. Using Maple, a symbolic computing application, it was shown that all obtained solutions are given by hyperbolic, exponential and logaritmic function solutions which obtained solutions are useful for fluid dynamics, optics and so on. Finally, we have presented some graphs for general solutions of these equations with special parameter values. The reliability and scope of programming provide eclectic applicability to high-dimensional nonlinear evolution equations for the development of this method. The results found gave us important information regarding the applicability of the new Kudryashov method.
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Aydın, Z. and Taşcan, F. (2025). Application of new Kudryashov method to Sawada-Kotera and Kaup-Kupershmidt equations. Computational Methods for Differential Equations, 13(2), 608-617. doi: 10.22034/cmde.2024.60001.2558
MLA
Aydın, Z. , and Taşcan, F. . "Application of new Kudryashov method to Sawada-Kotera and Kaup-Kupershmidt equations", Computational Methods for Differential Equations, 13, 2, 2025, 608-617. doi: 10.22034/cmde.2024.60001.2558
HARVARD
Aydın, Z., Taşcan, F. (2025). 'Application of new Kudryashov method to Sawada-Kotera and Kaup-Kupershmidt equations', Computational Methods for Differential Equations, 13(2), pp. 608-617. doi: 10.22034/cmde.2024.60001.2558
CHICAGO
Z. Aydın and F. Taşcan, "Application of new Kudryashov method to Sawada-Kotera and Kaup-Kupershmidt equations," Computational Methods for Differential Equations, 13 2 (2025): 608-617, doi: 10.22034/cmde.2024.60001.2558
VANCOUVER
Aydın, Z., Taşcan, F. Application of new Kudryashov method to Sawada-Kotera and Kaup-Kupershmidt equations. Computational Methods for Differential Equations, 2025; 13(2): 608-617. doi: 10.22034/cmde.2024.60001.2558
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