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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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Cover title.
"March, 1996."
Includes bibliographical references.
Supported in part by the NSF. DMS 9403861 ; 9508711.
Supported in part by BRIMS, Hewlett-Packard Labs.
Supported in part by NSF DMS. 9508711 ; 9302992.
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