Title: Power series solution and conservation laws of fractional Whitham-Broer-Kaup equation

Authors: Hemanta Mandal; Bibekananda Bira

Addresses: Department of Mathematics, SRM Institute of Science and Technology, Kattankulathur, Chennai-603203, India ' Department of Mathematics, SRM Institute of Science and Technology, Kattankulathur, Chennai-603203, India

Abstract: In this work, symmetry group of transformations for the system of time fractional Whitham-Broer-Kaup (WBK) equations are constructed. The transformations are used to reduce the given system of fractional partial differential equations (FPDEs) to fractional ordinary differential equations (FODEs). Further, the explicit power series solution of the given system of equations is obtained. Finally, the conservation law of the governing system of equations is studied.

Keywords: lie symmetry; power series solution; fractional WBK equation; conservation laws; Whitham-Broer-Kaup; WBK; fractional partial differential equations; FPDEs; fractional ordinary differential equations; FODEs.

DOI: 10.1504/IJANS.2021.120115

International Journal of Applied Nonlinear Science, 2021 Vol.3 No.2, pp.77 - 88

Accepted: 19 Apr 2021
Published online: 07 Jan 2022 *

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