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This article is cited in 12 scientific papers (total in 12 papers)
Exotic localized waves in the shifted nonlocal multicomponent nonlinear Schrödinger equation
Xiu-Bin Wang, Sh.-F. Tian School of Mathematics, China University of Mining and Technology, Xuzhou, China
Abstract:
We theoretically calculate general higher-order soliton solutions of the space-shifted parity–time-symmetric nonlocal multicomponent nonlinear Schrödinger equation via a Darboux dressing transformation with an asymptotic expansion method. A family of solutions is presented in separating variables. In particular, the obtained solutions contain rich dynamical patterns, most of which have no counterparts in the corresponding local nonlinear Schrödinger equation. These results may contribute to explaining and enriching the corresponding nonlinear wave phenomena emerging in nonlocal wave modes.
Keywords:
integrable shifted nonlocal multicomponent nonlinear Schrödinger equation, Darboux dressing transformation, solitons.
Received: 20.01.2022 Revised: 07.03.2022
Citation:
Xiu-Bin Wang, Sh.-F. Tian, “Exotic localized waves in the shifted nonlocal multicomponent nonlinear Schrödinger equation”, TMF, 212:3 (2022), 354–373; Theoret. and Math. Phys., 212:3 (2022), 1193–1210
Linking options:
https://www.mathnet.ru/eng/tmf10254https://doi.org/10.4213/tmf10254 https://www.mathnet.ru/eng/tmf/v212/i3/p354
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Abstract page: | 162 | Full-text PDF : | 29 | References: | 33 | First page: | 5 |
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