On integration of the closed KdV dressing chain
Mathematical Physics
2007-05-23 v1 math.MP
Abstract
The dressing chain equations for the second order Sturm-Liouville differential operators is integrated. The simplest closure at the third step is linked to the spectral curve of the genus 1 and the explicit solution in elliptic Weierstrass functions is given. Dependence on integrals that enter the bihamiltonian structure is specified.
Keywords
Cite
@article{arxiv.math-ph/0502052,
title = {On integration of the closed KdV dressing chain},
author = {Yurij Brezhnev and Sergey Leble},
journal= {arXiv preprint arXiv:math-ph/0502052},
year = {2007}
}
Comments
4 pages, XXXII Torun simposium on mathematical physics, 2002