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Lump-Type Wave and Interaction Solutions of the Bogoyavlenskii–Kadomtsev–Petviashvili Equation

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  • Chuanjian Wang
  • Hui Fang

Abstract

Lump-type wave solution of the Bogoyavlenskii–Kadomtsev–Petviashvili equation is constructed by using the bilinear structure and Hermitian quadratic form. The dynamical behaviors of lump-type wave solution are investigated and presented analytically and graphically. Furthermore, we discuss the interaction between a lump-type wave and a kink wave solution. Absorb-emit interaction between two kinds of solitary wave solutions is shown. This kind of interaction solution can be regarded as a lump-type wave which propagates on the kink wave background.

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  • Chuanjian Wang & Hui Fang, 2020. "Lump-Type Wave and Interaction Solutions of the Bogoyavlenskii–Kadomtsev–Petviashvili Equation," Complexity, Hindawi, vol. 2020, pages 1-9, January.
    • Handle: RePEc:hin:complx:2476923
    DOI: 10.1155/2020/2476923
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    Cited by:

    1. Cheng, Li & Zhang, Yi & Ma, Wen-Xiu & Ge, Jian-Ya, 2021. "Wronskian and lump wave solutions to an extended second KP equation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 187(C), pages 720-731.

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