On integration of the closed KdV dressing chain

Details On integration of the closed KdV dressing chain On integration of the closed KdV dressing chain

2005-02-25

arxiv.org/abs/math-ph/0502052v1

Physics

Mathematical Physics

4 pages, XXXII Torun simposium on mathematical physics, 2002

Scientific paper

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.

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