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

Weiping Cao, Jinxi Fei and Jiying Li

Chaos, Solitons & Fractals, 2021, vol. 144, issue C

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.

Keywords: AB-KP system; Lump solution; Breather solution; Parity-time symmetry (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:144:y:2021:i:c:s0960077921000060

DOI: 10.1016/j.chaos.2021.110653

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