Soliton Solutions of Kortweg-de Vries Equations and Hyperelliptic Sigma Functions
Abstract
Soliton Solutions of Korteweg-de Vries (KdV) were constructed for given degenerate curves y2 = (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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