Algebraic-geometric solutions of the Krichever-Novikov equation

被引：0
|
作者：
D. P. Novikov
机构：
[1] Omsk State Technical University,
来源：
Theoretical and Mathematical Physics | 1999年 / 121卷
关键词：
Soliton; Elliptic Curve; Theta Function; Constant Polis; Commutation Representation;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A zero-curvature representation with constant poles on an elliptic curve is obtained for the Krichever-Novikov equation. Algebraic-geometric solutions of this equation are constructed. The consideration is based on reducing the theta function of a two-sheet covering of an elliptic curve to the Prym theta functions of codimension one.
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页码：1567 / 1573
页数：6
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