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

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dc.creatorMatsutani, Shigeki
dc.date2001-05-23
dc.date2001-12-05
dc.date.accessioned2026-07-07T04:28:28Z
dc.date.available2026-07-07T04:28:28Z
dc.descriptionSoliton 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.
dc.descriptionAMS-TeX, 12 pages
dc.identifierhttps://arxiv.org/abs/math-ph/0105032
dc.identifierhttp://arxiv.org/abs/math-ph/0105032
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/56800
dc.subjectMathematical Physics
dc.subjectAlgebraic Geometry
dc.subjectAnalysis of PDEs
dc.subjectExactly Solvable and Integrable Systems
dc.titleSoliton Solutions of Kortweg-de Vries Equations and Hyperelliptic Sigma Functions
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