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

页码：489 / 523

页数：35

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