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Wronskian and lump wave solutions to an extended second KP equation

Author

Listed:
  • Cheng, Li
  • Zhang, Yi
  • Ma, Wen-Xiu
  • Ge, Jian-Ya

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.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:matcom:v:187:y:2021:i:c:p:720-731
    DOI: 10.1016/j.matcom.2021.03.024
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    References listed on IDEAS

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    1. Rizvi, Syed Tahir Raza & Khan, Salah Ud-Din & Hassan, Mohsan & Fatima, Ishrat & Khan, Shahab Ud-Din, 2021. "Stable propagation of optical solitons for nonlinear Schrödinger equation with dispersion and self phase modulation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 179(C), pages 126-136.
    2. Guo, Jutong & He, Jingsong & Li, Maohua & Mihalache, Dumitru, 2021. "Multiple-order line rogue wave solutions of extended Kadomtsev–Petviashvili equation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 180(C), pages 251-257.
    3. 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.
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