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arxiv: 1007.3394 · v1 · pith:4674DN4Onew · submitted 2010-07-20 · 🌊 nlin.SI

KdV-Volterra chain

classification 🌊 nlin.SI
keywords systemchainapparentlycloselyconstructcoupleddevotedequations
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This paper is devoted to the system of coupled KdV-like equations. It is shown that this apparently non-integrable system possesses an integrable reduction which is closely related to the Volterra chain. This fact is used to construct the hyperelliptic solutions of the original system.

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