KdV-Volterra chain

Details KdV-Volterra chain KdV-Volterra chain

2010-07-20

arxiv.org/abs/1007.3394v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

11 pages

Scientific paper

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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