Soliton Solutions of Kortweg-de Vries Equations and Hyperelliptic Sigma Functions
Mathematical Physics
2007-05-23 v3 Algebraic Geometry
Analysis of PDEs
math.MP
Exactly Solvable and Integrable Systems
Abstract
Soliton Solutions of Korteweg-de Vries (KdV) were constructed for given degenerate curves in terms of hyperelliptic sigma functions and explicit Abelian integrals. Connection between sigma functions and tau function were also presented.
Keywords
Cite
@article{arxiv.math-ph/0105032,
title = {Soliton Solutions of Kortweg-de Vries Equations and Hyperelliptic Sigma Functions},
author = {Shigeki Matsutani},
journal= {arXiv preprint arXiv:math-ph/0105032},
year = {2007}
}
Comments
AMS-TeX, 12 pages