Integrable particle systems vs solutions to the KP and 2D Toda equations
Journal Article
·
· Annals of Physics (New York)
- Centre for Mathematics and Computer Science, P.O. Box 94079, 1090 GB Amsterdam (The Netherlands)
Starting from the relation between integrable relativistic N-particle systems with hyperbolic interactions and elementary N-soliton solutions to the KP and 2D Toda equations, we show how fusion properties of the soliton solutions are mirrored by fusion properties of the Poisson commuting particle dynamics. We also obtain previously known relations between elliptic solutions and integrable N-particle systems with elliptic interactions, without invoking finite-gap integration theory. {copyright} 1997 Academic Press, Inc.
- OSTI ID:
- 538354
- Journal Information:
- Annals of Physics (New York), Vol. 256, Issue 2; Other Information: PBD: May 1997
- Country of Publication:
- United States
- Language:
- English
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