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Quasi-periodic solutions of the integrable dynamical systems related to Hill's equation

โœ Scribed by N. A. Kostov

Publisher
Springer
Year
1989
Tongue
English
Weight
466 KB
Volume
17
Category
Article
ISSN
0377-9017

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โœฆ Synopsis

We present finite-gap solutions to the Garnier system and to the g-dimensionaI anisotropic harmonic oscillator in a radial quartic potential. The relationship between these solutions and solutions of Neumann-type dynamical systems is discussed.

๐Ÿ“œ SIMILAR VOLUMES

Completely integrable systems of the KdV
Completely integrable systems of the KdV type related to isospectral periodic regular difference operators
โœ P. F. Dhooghe ๐Ÿ“‚ Article ๐Ÿ“… 1986 ๐Ÿ› Springer Netherlands ๐ŸŒ English โš– 578 KB

Completely integrable KdV systems are described on coadjoint orbits, which are isospectral classes of periodic regular difference operators. The finite zone solutions for some field equations are then obtained if the equations are written on a jet bundle of maps with values in a Lie group and if the