Wronskian and lump wave solutions to an extended second KP equation

Li Cheng, Yi Zhang, Wen-Xiu Ma and Jian-Ya Ge

Mathematics and Computers in Simulation (MATCOM), 2021, vol. 187, issue C, 720-731

Abstract: The letter aims to generalize the second KP equation to a new one which still possesses a trilinear form. We construct Wronskian determinant solutions, based on its associated trilinear equation, instead of a Hirota bilinear form. Multi-soliton solutions are generated from the presented Wronskian formulation with higher-order dispersion relations. It is then shown that the extended second KP equation possesses resonant N-wave solutions. Moreover, generic one-lump and two-lump waves are built via the improved long wave limit procedure.

Keywords: The extended second KP equation; Wronskian determinant; Lump solutions; Trilinear form (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:187:y:2021:i:c:p:720-731

DOI: 10.1016/j.matcom.2021.03.024

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