2001/05/23 by Shigeki Matsutani, Matsutani, Shigeki
Mathematics · Physics and Astronomy · #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Nonlinear Waves and Solitons #math-ph #math.AG #math.AP #math.MP #nlin.SI
paper · pdf · doi:10.48550/arxiv.math-ph/0105032
AMS-TeX, 12 pages
arxiv created 2001/12/05 · arxiv updated 2009/11/30
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.