Non-linear evolution equations and hyperelliptic covers of elliptic curves

Details Non-linear evolution equations and hyperelliptic covers of elliptic curves Non-linear evolution equations and hyperelliptic covers of elliptic curves

2010-03-01

arxiv.org/abs/1003.0438v1

Mathematics

Algebraic Geometry

Scientific paper

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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