Algebro-Geometric Quasi-Periodic Finite-Gap Solutions Of The Toda And Kac-Van Moerbeke Hierarchies
Dedicated HenrikDepartment of Mathematical Sciences, Norwegian University of Science and Technology, N-7034 Trondheim, NorwayH. MartensInstitut für Reine und Angewandte Mathematik, RWTH Aachen, 52056 Aachen, GermanyW. BullaDepartment of Mathematics, University of Missouri, Columbia, MO 65211, USAFritz GesztesyInstitut für Reine und Angewandte Mathematik, RWTH Aachen, 52056 Aachen, GermanyHelge HoldenGerald Teschl
1995en
ABI
Annotatsiya
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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