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

Physics – Mathematical Physics

Scientific paper

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AMS-TeX, 12 pages

Scientific paper

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.

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