Completely integrable systems of the KdV type related to isospectral periodic regular difference operators

✍ Scribed by P. F. Dhooghe

• Publisher: Springer Netherlands
• Year: 1986
• Tongue: English
• Weight: 578 KB
• Volume: 5
• Category: Article
• ISSN: 0167-8019
• DOI: 10.1007/bf00046587

✦ Synopsis

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 orbits are truncated invariantly with regard to the group action. (1980). 35A25, 58D25, 47HXX, 81C, 58G37. Key word,. Completely integrable KdV systems, field equations, finite zone solutions, Kac-Moody-Lie algebras.

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