Two Novel Methods for Fractional Nonlinear Whitham–broer–kaup Equations Arising in Shallow Water

Verma, V.Baleanu, D.Prakash, A.2024-01-262025-09-182024-01-262025-09-182023Prakash, Amit;...et.al. (2023). "Two Novel Methods for Fractional Nonlinear Whitham–Broer–Kaup Equations Arising in Shallow Water", International Journal of Applied and Computational Mathematics, Vol.9, No.3.2349-51032199-5796https://doi.org/10.1007/s40819-023-01497-4https://hdl.handle.net/20.500.12416/13407In the present paper, we investigate the approximate analytic solution of the time-fractional nonlinear coupled Whitham–Broer–Kaup equations arising in shallow water with the aid of two novel approaches namely q -homotopy analysis Sumudu transform method (q-HASTM) and Homotopy perturbation Sumudu transform method (HPSTM). Uniqueness and convergence analysis of the coupled WBK equations via q-HASTM are accessible. We applied the suggested techniques to a pair of examples, plotted the results and analyse the error, L2 error norm and L∞ error norm with q-HASTM and HPSTM. © 2023, The Author(s), under exclusive licence to Springer Nature India Private Limited.eninfo:eu-repo/semantics/closedAccessCaputo Fractional DerivativeCoupled Whitham–Broer–Kaup EquationsHomotopy Perturbation Sumudu Transform MethodQ-Homotopy Analysis Sumudu Transform MethodTwo Novel Methods for Fractional Nonlinear Whitham–broer–kaup Equations Arising in Shallow WaterTwo Novel Methods for Fractional Nonlinear Whitham–Broer–Kaup Equations Arising in Shallow WaterArticle10.1007/s40819-023-01497-42-s2.0-85156225324