Algebro-geometric Quasi-periodic Finite-gap Solutions of the Toda and Kac-van Moerbeke Hierarchies - Memoirs of the American Mathematical Society (Paperback)
  • Algebro-geometric Quasi-periodic Finite-gap Solutions of the Toda and Kac-van Moerbeke Hierarchies - Memoirs of the American Mathematical Society (Paperback)
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Algebro-geometric Quasi-periodic Finite-gap Solutions of the Toda and Kac-van Moerbeke Hierarchies - Memoirs of the American Mathematical Society (Paperback)

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Paperback 79 Pages / Published: 30/08/1998
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In this work, the authors provide a self-contained discussion of all real-valued quasi-periodic finite-gap solutions of the Toda and Kac-van Moerbeke hierarchies of completely integrable evolution equations. The approach utilizes algebro-geometric methods, factorization techniques for finite difference expressions, as well as Miura-type transformations. Detailed spectral theoretic properties of Lax pairs and theta function representations of the solutions are derived. It features a simple and unified treatment of the topic. It has self-contained development. There are novel results for the Kac-van Moerbeke hierarchy and its algebro-geometric solutions.

Publisher: American Mathematical Society
ISBN: 9780821808085
Number of pages: 79
Weight: 198 g
Dimensions: 254 x 184 mm

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