English

KdV-Volterra chain

Exactly Solvable and Integrable Systems 2012-11-09 v1

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.

Keywords

Cite

@article{arxiv.1007.3394,
  title  = {KdV-Volterra chain},
  author = {G. M. Pritula and V. E. Vekslerchik},
  journal= {arXiv preprint arXiv:1007.3394},
  year   = {2012}
}

Comments

11 pages

R2 v1 2026-06-21T15:50:23.255Z