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Optimal System and Group Invariant Solutions of the Whitham-Broer-Kaup System

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From the nonlocal symmetries of the Whitham-Broer-Kaup system, an eight-dimensional Lie algebra is found and the corresponding one-dimensional optimal system is constructed to provide an inequivalent classification. Six types of… Click to show full abstract

From the nonlocal symmetries of the Whitham-Broer-Kaup system, an eight-dimensional Lie algebra is found and the corresponding one-dimensional optimal system is constructed to provide an inequivalent classification. Six types of inequivalent group invariant solutions are demonstrated, some of which reflect the interactions between soliton and other nonlinear waves.

Keywords: group invariant; broer kaup; kaup system; system; optimal system; whitham broer

Journal Title: Advances in Mathematical Physics
Year Published: 2019

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