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Non-linear evolution equations and hyperelliptic covers of elliptic curves

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Armando Treibich Kohn
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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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hal-00460434 , version 1 (01-03-2010)

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