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arXiv · 1003.0438

Non-linear evolution equations and hyperelliptic covers of elliptic curves

Armando Treibich
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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 Schr\"odinger and 1D Toda equations, and construct examples of arbitrary genus.

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Armando Treibich. 2010-03-01. Non-linear evolution equations and hyperelliptic covers of elliptic curves. https://doi.org/10.1134/s1560354711030063

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