Alber, Mark S. and Luther, Gregory G. and Marsden, Jerrold E. (1997) Complex Billiard Hamiltonian Systems and Nonlinear Waves. In: Algebraic Aspects of Integrable Systems. Vol.1997. Birkhäuser , Boston, pp. 1-16. ISBN 0817638350. https://resolver.caltech.edu/CaltechAUTHORS:20100706-153522794
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Abstract
The relationships between phase shifts, monodromy effects and billiard solutions are studied in the context of Riemann surfaces for both integrable ordinary and partial differential equations. The ideas are illustrated with the three wave interaction, the nonlinear Schrödinger equation, a coupled Dym system and the coupled nonlinear Schrödinger equations.
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| Additional Information: | © 1997 Birkhäuser Boston. November, 1995; this version January 5, 1996. Department of Mathematics, University of Notre Dame, Notre Dame, IN 46556. Research partially supported by NSF grants DMS 9403861 and 9508711. Department of Mathematics, University of Notre Dame, Notre Dame, IN 46556, and the Basic Research Institute in the Mathematical Sciences, Hewlett-Packard Laboratories, Filton Road, Stoke Gifford, Bristol BS12 6QZ, UK. GGL gratefully acknowledges support from BRIMS, Hewlett-Packard Labs and from NSF DMS under grant 9508711. Control and Dynamical Systems 104-44, Caltech, Pasadena, CA 91125. Research partially supported by NSF grant DMS 9302992 | ||||||||
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| Record Number: | CaltechAUTHORS:20100706-153522794 | ||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20100706-153522794 | ||||||||
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| Deposited By: | Ruth Sustaita | ||||||||
| Deposited On: | 09 Jul 2010 17:53 | ||||||||
| Last Modified: | 03 Oct 2019 01:49 |
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