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Symmetry breaking solutions to nonlocal Alice-Bob Kadomtsev-Petviashivili system

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  • Cao, Weiping
  • Fei, Jinxi
  • Li, Jiying

Abstract

The common Kadomtsev-Petviashivili (KP) system coupled with parity-time symmetry is studied. The bilinear form is introduced to the Alice-Bob Kadomtsev-Petviashivili(AB-KP) system with additional arbitrary constant a. The abundant solutions are discussed for various transformation function f, which are different from common KP system. As a result, a single soliton dependent on parameter a, breather, lump and the interaction between lump and a pair of stripe solitons are obtained. By choosing special parameters, the evolution plots of some breather and lump solutions are illustrated.

Suggested Citation

  • Cao, Weiping & Fei, Jinxi & Li, Jiying, 2021. "Symmetry breaking solutions to nonlocal Alice-Bob Kadomtsev-Petviashivili system," Chaos, Solitons & Fractals, Elsevier, vol. 144(C).
    • Handle: RePEc:eee:chsofr:v:144:y:2021:i:c:s0960077921000060
    DOI: 10.1016/j.chaos.2021.110653
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    References listed on IDEAS

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    1. Hongwei Yang & Baoshu Yin & Yunlong Shi & Qingbiao Wang, 2012. "Forced ILW-Burgers Equation as a Model for Rossby Solitary Waves Generated by Topography in Finite Depth Fluids," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-17, October.
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