Power series solution and conservation laws of fractional Whitham-Broer-Kaup equation Online publication date: Fri, 07-Jan-2022
by Hemanta Mandal; Bibekananda Bira
International Journal of Applied Nonlinear Science (IJANS), Vol. 3, No. 2, 2021
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.
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