ELLIPTIC BAKER-AKHIEZER FUNCTIONS AND AN APPLICATION TO AN INTEGRABLEDYNAMICAL SYSTEM

Authors
EILBECK JC ENOLSKII VZ
Citation
Jc. Eilbeck et Vz. Enolskii, ELLIPTIC BAKER-AKHIEZER FUNCTIONS AND AN APPLICATION TO AN INTEGRABLEDYNAMICAL SYSTEM, Journal of mathematical physics, 35(3), 1994, pp. 1192-1201
Citations number
13
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
Journal of mathematical physics → ACNP
ISSN journal
00222488
Volume
35
Issue
3
Year of publication
1994
Pages
1192 - 1201
Database
ISI
SICI code
0022-2488(1994)35:3<1192:EBFAAA>2.0.ZU;2-X
Abstract
An ansatz for elliptic Baker-Akhiezer functions is used to find new so lutions for various spectral problems-the Sturm-Liouville problem with four and five-gap Lame potentials and two third-order problems. One o f the third-order problems is the classical Halphen equation with a sp ectral parameter. The eigenfunctions are used to construct elliptic so lutions for integrable cases of a generalized Henon-Heiles system.