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- W2463965488 abstract "A family of new one-parameter (ϵx=±1) nonlinear wave models (called Gϵx(nm) model) is presented, including both the local (ϵx=1) and new integrable nonlocal (ϵx=−1) general vector nonlinear Schrödinger (VNLS) equations with the self-phase, cross-phase, and multi-wave mixing modulations. The nonlocal G−1(nm) model is shown to possess the Lax pair and infinite number of conservation laws for m=1. We also establish a connection between the Gϵx(nm) model and some known models. Some symmetric reductions and exact solutions (e.g., bright, dark, and mixed bright-dark solitons) of the representative nonlocal systems are also found. Moreover, we find that the new general two-parameter (ϵx,ϵt) model (called Gϵx,ϵt(nm) model) including the Gϵx(nm) model is invariant under the PT-symmetric transformation and the PT symmetribility of its self-induced potentials is discussed for the distinct two parameters (ϵx,ϵt)=(±1,±1)." @default.
- W2463965488 created "2016-07-22" @default.
- W2463965488 creator A5072375928 @default.
- W2463965488 date "2016-12-01" @default.
- W2463965488 modified "2023-10-02" @default.
- W2463965488 title "Nonlocal general vector nonlinear Schrödinger equations: Integrability, <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML altimg=si1.gif display=inline overflow=scroll><mml:mi mathvariant=script>P</mml:mi><mml:mi mathvariant=script>T</mml:mi></mml:math> symmetribility, and solutions" @default.
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- W2463965488 doi "https://doi.org/10.1016/j.aml.2016.07.010" @default.
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