RUS  ENG
Full version
JOURNALS // Teoreticheskaya i Matematicheskaya Fizika // Archive

TMF, 2022 Volume 212, Number 3, Pages 354–373 (Mi tmf10254)

This article is cited in 16 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

DOI: 10.4213/tmf10254


 English version:
Theoretical and Mathematical Physics, 2022, 212:3, 1193–1210

Bibliographic databases:


© Steklov Math. Inst. of RAS, 2025