Elliptic Baker - Akhiezer functions and an application to an integrable dynamical system

J. C. Eilbeck, V. Z. Enol'skii

Research output: Contribution to journalArticle

Abstract

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 Lamé 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 Hènon - Heiles system. © 1994 American Institute of Physics.

Original languageEnglish
Pages (from-to)1192-1201
Number of pages10
JournalJournal of Mathematical Physics
Volume35
Issue number3
Publication statusPublished - 1994

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