Abstract
AbstractA coupled Chen–Lee–Liu (CLL) system is proposed and its linear Lax pair is given. Many kinds of nonlocal-derivative NLS (DNLS) equations arise from the group symmetry reductions of the coupled CLL system. $\hat{P}\hat{T}\hat{C}$PˆTˆCˆ-symmetry invariant one-soliton solution and periodic two-soliton solution of a two-place DNLS (TDNLS) system are obtained. A group symmetry invariant two-soliton solution of a four-place DNLS (FDNLS) system is worked out. New characteristics of the two-soliton interactions for the TDNLS system and FDNLS system are analyzed.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Algebra and Number Theory,Analysis
Reference59 articles.
1. Lou, S.Y.: Alice–Bob Physics, $P_{s}-T_{d}-C$ principles and multi-soliton solutions (2016) arXiv:1603.03975v2 [nlin.SI]
2. Ablowitz, M.J., Musslimani, Z.H.: Integrable nonlocal nonlinear Schrödinger equation. Phys. Rev. Lett. 110, 064105 (2013)
3. Gadzhimuradov, T.A., Agalarov, A.M.: Towards a gauge-equivalent magnetic structure of the nonlocal nonlinear Schrodinger equation. Phys. Rev. A 93, 062124 (2016)
4. Jia, M., Lou, S.Y.: Exact PSTd invariant and PSTd symmetric breaking solutions, symmetry reductions and Backlund transformations for an AB–KdV system. Phys. Lett. A 382, 1157–1166 (2018)
5. Lou, S.Y.: Prohibition caused by nonlocality for nonlocal Boussinesq–KdV type systems. Stud. Appl. Math. 2019, 1–16 (2019)
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