Nondegenerate soliton dynamics of nonlocal nonlinear Schrödinger equation

We obtain the nondegenerate one- and two-soliton solutions of the nonlocal nonlinear Schrödinger equation by using the nonstandard Hirota method. This unconventional method is used to bilinearize the nonlocal nonlinear Schrödinger equation and its related auxiliary equations, and some novel interact...

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Veröffentlicht in:Nonlinear dynamics 2023-09, Vol.111 (17), p.16483-16496
Hauptverfasser: Geng, Kai-Li, Zhu, Bo-Wei, Cao, Qi-Hao, Dai, Chao-Qing, Wang, Yue-Yue
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Sprache:eng
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Zusammenfassung:We obtain the nondegenerate one- and two-soliton solutions of the nonlocal nonlinear Schrödinger equation by using the nonstandard Hirota method. This unconventional method is used to bilinearize the nonlocal nonlinear Schrödinger equation and its related auxiliary equations, and some novel interaction properties of parity-time-symmetric two-soliton solutions are derived. The detailed asymptotic analysis is used to reveal the characteristics of energy conservation and energy redistribution before and after the collision between nondegenerate solitons. Experimental scheme to observe nondegenerate solitons is also proposed. This provides potential applications for the soliton interaction in the nonlocal wave model.
ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-023-08719-w