Soliton Solutions of Kortweg-de Vries Equations and Hyperelliptic Sigma Functions

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Soliton Solutions of Korteweg-de Vries (KdV) were constructed for given degenerate curves $y^2 = (x-c)P(x)^2$ in terms of hyperelliptic sigma functions and explicit Abelian integrals. Connection between sigma functions and tau function were also presented.
AMS-TeX, 12 pages

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Mathematical Physics, Algebraic Geometry, Analysis of PDEs, Exactly Solvable and Integrable Systems

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http://salesiana.dossiersoluciones.com/handle/123456789/56800

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math-ph/0105032
 http://arxiv.org/abs/math-ph/0105032

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arXiv