ELLIPTIC BAKER-AKHIEZER FUNCTIONS AND AN APPLICATION TO AN INTEGRABLE DYNAMICAL SYSTEM

被引：23

作者：

EILBECK, JC ^{[1
]}

ENOLSKII, VZ ^{[1
]}

机构：

[1] INST MET PHYS,DEPT THEORET PHYS,KIEV 680252142,UKRAINE

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 1994年 / 35卷 / 03期

关键词：

D O I：

10.1063/1.530635

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

An ansatz for elliptic Baker-Akhiezer functions is used to find new solutions for various spectral problems-the Sturm-Liouville problem with four and five-gap Lame potentials and two third-order problems. One of the third-order problems is the classical Halphen equation with a spectral parameter. The eigenfunctions are used to construct elliptic solutions for integrable cases of a generalized Henon-Heiles system.

引用

页码：1192 / 1201

页数：10

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