On integration of the closed KdV dressing chain

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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.
4 pages, XXXII Torun simposium on mathematical physics, 2002

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Mathematical Physics, 58F07

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http://salesiana.dossiersoluciones.com/handle/123456789/57991

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math-ph/0502052
 http://arxiv.org/abs/math-ph/0502052

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arXiv