KdV-Volterra chain

Abstract

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.

11 pages

References in corpus (2)

• Algebro-Geometric Quasi-Periodic Finite-Gap Solutions of the Toda and Kac-van Moerbeke Hierarchies
• Functional representation of the Volterra hierarchy

Cited by in corpus (2)

• Soliton Fay identities. I. Dark soliton case
• Toda-Heisenberg chain: interacting sigma-fields in two dimensions