VARIABLE SEPARATION AND ALGEBRAIC-GEOMETRIC SOLUTIONS OF MODIFIED TODA LATTICE EQUATION

被引：1

作者：

Luo, Lin ^{[1
]}

Fan, Engui ^{[2
]}

机构：

[1] Shanghai Second Polytech Univ, Dept Math, Shanghai 201209, Peoples R China

[2] Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China

来源：

MODERN PHYSICS LETTERS B | 2010年 / 24卷 / 19期

基金：

上海市自然科学基金;

关键词：

Modified Toda lattice; Lax pairs; algebraic-geometric solution; Riemann theta function; QUASI-PERIODIC SOLUTIONS; NONLINEAR SCHRODINGER-EQUATIONS; R-MATRIX; HIERARCHY; SYSTEMS;

D O I：

10.1142/S0217984910024420

中图分类号：

O59 [应用物理学];

学科分类号：

摘要：

In this paper, we derive a modified Toda lattice hierarchy by resorting to the Lenard operator pairs. The hyper-elliptic curve and Abel-Jacobi coordinates are then introduced to linearize the associated flow, from which some algebraic-geometric solutions of the modified Toda lattice are explicitly constructed in terms of Riemann theta functions by using Jacobi inversion technique.

引用

页码：2041 / 2055

页数：15

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