Geodesic
Exotic localized waves in the~shifted nonlocal multicomponent nonlinear Schr\"{o}dinger equation
Teoretičeskaâ i matematičeskaâ fizika, Tome 212 (2022) no. 3, pp. 354-373

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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
Mots-clés : solitons. 
@article{TMF_2022_212_3_a2,
     author = {Xiu-Bin Wang and Sh.-F. Tian},
     title = {Exotic localized waves in the~shifted nonlocal multicomponent nonlinear {Schr\"{o}dinger} equation},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {354--373},
     publisher = {mathdoc},
     volume = {212},
     number = {3},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2022_212_3_a2/}
}
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Xiu-Bin Wang; Sh.-F. Tian. Exotic localized waves in the~shifted nonlocal multicomponent nonlinear Schr\"{o}dinger equation. Teoretičeskaâ i matematičeskaâ fizika, Tome 212 (2022) no. 3, pp. 354-373. http://geodesic.mathdoc.fr/item/TMF_2022_212_3_a2/