Non-linear evolution equations and hyperelliptic covers of elliptic curves

Abstract : We study the general properties of spectral curves associated to doubly-periodic solutions of Korteweg-deVries, sine-Gordon, Non-linear Schrödinger and 1D Toda equations, and construct examples of arbitrary genus.
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https://hal-univ-artois.archives-ouvertes.fr/hal-00460434
Contributor : Armando Treibich <>
Submitted on : Monday, March 1, 2010 - 10:17:26 AM
Last modification on : Monday, March 21, 2016 - 5:34:59 PM
Long-term archiving on : Friday, June 18, 2010 - 7:20:41 PM

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  • HAL Id : hal-00460434, version 1
  • ARXIV : 1003.0438

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Armando Treibich Kohn. Non-linear evolution equations and hyperelliptic covers of elliptic curves. 2010. ⟨hal-00460434⟩

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