Nonlinear evolution equations and hyperelliptic covers of elliptic curves

DOI10.1134/S1560354711030063zbMath1254.14041arXiv1003.0438MaRDI QIDQ691177

Armando Treibich

Publication date: 30 November 2012

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1003.0438

zbMATH Keywords

exceptional curveJacobian varietyelliptic solitonelliptic and hyperelliptic curvesruled and rational surfaces

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Jacobians, Prym varieties (14H40) Relationships between algebraic curves and integrable systems (14H70) Coverings of curves, fundamental group (14H30) Divisors, linear systems, invertible sheaves (14C20) Riemann surfaces; Weierstrass points; gap sequences (14H55) Relationships between algebraic curves and physics (14H81) Soliton solutions (35C08)

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