Elliptic Baker-Akhiezer Functions and an Application to an Integrable Dynamical System -- from Wolfram Library Archive

Title

Elliptic Baker-Akhiezer Functions and an Application to an Integrable Dynamical System

Authors

J. Eilbeck

V. Enol'skii

Journal / Anthology

Journal of Mathematical Physics

Year:

1994

Volume:

Issue:

Page range:

1192-1201

Description

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 Hénon-Heiles system.

Subjects

	Mathematics > Calculus and Analysis > Differential Equations
	Mathematics > Calculus and Analysis > Special Functions

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