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Reliable methods to study some nonlinear conformable systems in shallow water

Reliable methods to study some nonlinear conformable systems in shallow water

Abstract In this paper, consider the eminent coupled Boussinesq–Burger (BB) equations and the coupled Whitham–Broer–Kaup (WBK) equations with time fractional derivative arising in the investigation of shallow water waves. The derivative is described in the sense of conformable derivative. We introduce the fundamental ${(G'} / {G} )$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mo>(</mml:mo> …