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On Discretizations of the Vector Nonlinear Schrodinger Equation

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arxiv solv-int/9810014 v1 pith:SIQR4WXX submitted 1998-10-19 solv-int nlin.SI

M. J. Ablowitz , Y. Ohta , A. D. Trubatch This is my paper · ORCID
classification solv-intnlin.SI
keywords systemdiscretizationsequationsolutionssymmetricvectorasymmetricformulae
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Two discretizations of the vector nonlinear Schrodinger (NLS) equation are studied. One of these discretizations, referred to as the symmetric system, is a natural vector extension of the scalar integrable discrete NLS equation. The other discretization, referred to as the asymmetric system, has an associated linear scattering pair. General formulae for soliton solutions of the asymmetric system are presented. Formulae for a constrained class of solutions of the symmetric system may be obtained. Numerical studies support the hypothesis that the symmetric system has general soliton solutions.

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  1. Integrable Twelve-Component Nonlinear Dynamical System on a Quasi-One-Dimensional Lattice

    nlin.SI 2025-09 conditional novelty 6.0 of 10

    Two new semi-discrete multi-component integrable systems with explicit Lax pairs and local conservation laws are constructed on a quasi-one-dimensional lattice.

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