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Multi-pole lump solutions and anomalous scattering in the BKP equation

Author

Listed:
  • Qiu, Tianwei
  • Wang, Zhen
  • Yang, Xiangyu

Abstract

This study investigates the dynamics of multi-pole lump solutions and their scattering phenomena in the Bogoyavlenskii–Kadomtsev–Petviashvili (BKP) equation. Utilizing the inverse scattering transform method, we generate standard M-lump solutions from eigenfunctions with simple poles and derive non-standard lump solutions associated with higher-order poles in their eigenfunctions. While standard M-lump waves exhibit normal scattering phenomena, multi-pole lump waves display time-dependent velocities and non-trivial scattering angles, referred to as anomalous scattering. Notably, this research introduces a novel triple-pole lump solution in the BKP equation. These anomalous scattering phenomena differ from those observed in the Kadomtsev–Petviashvili equation but exhibit similarities to those in the Davey–Stewartson system.

Suggested Citation

  • Qiu, Tianwei & Wang, Zhen & Yang, Xiangyu, 2025. "Multi-pole lump solutions and anomalous scattering in the BKP equation," Chaos, Solitons & Fractals, Elsevier, vol. 198(C).
    • Handle: RePEc:eee:chsofr:v:198:y:2025:i:c:s0960077925005351
    DOI: 10.1016/j.chaos.2025.116522
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