QUASI-PERIODIC SOLUTIONS OF THE RELATIVISTIC TODA HIERARCHY

被引：4
|
作者：
Gong, Dong [1 ]
Geng, Xianguo [1 ]
机构：
[1] Zhengzhou Univ, Dept Math, Zhengzhou 450001, Henan, Peoples R China
来源：
JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS | 2012年 / 19卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Relativistic Toda hierarchy; quasi-periodic solutions; RECURSION OPERATOR; LATTICE;
D O I：
10.1142/S1402925112500301
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
On the basis of the theory of algebraic curves, the continuous flow and discrete flow related to the relativistic Toda hierarchy are straightened out using the Abel-Jacobi coordinates. The meromorphic function and the Baker-Akhiezer function are introduced on the hyperelliptic curve. Quasi-periodic solutions of the relativistic Toda hierarchy are constructed with the help of the asymptotic properties and the algebro-geometric characters of the meromorphic function and the hyperelliptic curve.
引用
收藏
页码：489 / 523
页数：35
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