Affiliation:
1. SULEYMAN DEMIREL UNIVERSITY
Abstract
The fifth-order Korteweg-de Vries (fKdV) equation is a nonlinear model in various long wave physical phenomena. The residual power series method (RPSM) is used to gain the approximate solutions of the time fractional fKdV equation in this study. Basic definitions of fractional derivatives are described in the Caputo sense. The solutions of the time fractional fKdV equation with easily computable components are calculated as a quick convergent series. When compared to exact solutions, the RPSM provides good accuracy for approximate solutions. The reliability of the proposed method is also illustrated with the aid of table and graphs. Cleary observed from the results that the suggested method is suitable and simple for similar type of the time fractional nonlinear differential equations.
Reference39 articles.
1. [1] Kaya D., An Explicit and Numerical Solutions of Some Fifth-Order KdV Equation by Decomposition Method, Appl. Math. Comput., 144 (2003) 353-363.
2. [2] Handibag S., Karande B.D., Existence the Solutions of Some Fifth-Order KdV Equation by Laplace Decomposition Method, American J. Comput. Math., 3 (2013) 80-85.
3. [3] Saravi M., Nikkar A., Promising Technique for Analytic Treatment of Nonlinear Fifth-Order Equations, World J. Model. Simul., 10 (1) (2014) 27-33.
4. [4] Wazwaz A.W., A Fifth-Order Korteweg-de Vries Equation for Shallow Water with Surface Tension: Multiple Soliton Solutions, Acta Physica Polonica A, 130 (3) (2016) 679-682.
5. [5] Seadawy A.R., Lu D., Yue C., Travelling Wave Solutions of the Generalized Nonlinear Fifth-Order KdV Water Wave Equations and Its Stability, J. Taibah Uni. Sci., 11 (2017) 623-633.
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