Algebro-Geometric Quasi-Periodic Finite-Gap Solutions Of The Toda And Kac-Van Moerbeke Hierarchies
Dedicated HenrikInstitute for Theoretical Physics, Technical University of Graz, A-8010 Graz, Austria and Department of Mathematics,H. MartensDepartment of Mathematics, University of Missouri, Columbia, MO 65211, USAW. BullaDepartment of Mathematical Sciences, Norwegian University of Science and Technology, N-7034 Trondheim, NorwayFritz GesztesyInstitute for Theoretical Physics, Technical University of Graz, A-8010 Graz, AustriaHelge HoldenGerald Teschl
1995en
ABI
Аннотация
Abstract. Combining algebro-geometric methods and factorization techniques for finite difference expressions we provide a complete and self-contained treatment of all real-valued quasi-periodic finite-gap solutions of both the Toda and Kac-van Moerbeke hierarchies. In order to obtain our principal new result, the algebro-geometric finitegap solutions of the Kac-van Moerbeke hierarchy, we employ particular commutation methods in connection with Miura-type transformations which enable us to transfer whole classes of solutions (such as finite-gap solutions) from the Toda hierarchy to its modified counterpart, the Kac-van Moerbeke hierarchy, and vice versa. Ordering Details:
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