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arxiv: 1705.10975 · v1 · pith:TYI4DPXWnew · submitted 2017-05-31 · 🌊 nlin.SI

Coupled Ablowitz-Ladik equations with branched dispersion

classification 🌊 nlin.SI
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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