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Coupled Ablowitz-Ladik equations with branched dispersion

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arxiv 1705.10975 v1 pith:TYI4DPXW submitted 2017-05-31 nlin.SI

Corina N. Babalic , A. S. Carstea This is my paper · ORCID
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keywords ablowitz-ladikbrancheddispersioncompletecompletelycoupleddiagonaldiscussed
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Complete integrability and multisoliton solutions are discussed for a multicomponent Ablowitz-Ladik system with branched dispersion relation. It is also shown that starting from a "diagonal" (in two-dimensions) completely integrable Ablowitz-Ladik equation, one can obtain all the results using a periodic reduction.

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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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