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Item Details
Title: ALGEBRO-GEOMETRIC QUASI-PERIODIC FINITE-GAP SOLUTIONS OF THE TODA AND KAC-VAN MOERBEKE HIERARCHIES
By: W. Bulla, etc., Fritz Gesztesy
Format: Paperback

List price: £46.50


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ISBN 10: 0821808087
ISBN 13: 9780821808085
Publisher: AMERICAN MATHEMATICAL SOCIETY
Pub. date: 1 January, 1998
Series: Memoirs of the American Mathematical Society No. 641
Pages: 79
Description: Offers 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. This work offers an approach that utilizes algebro-geometric methods, factorization techniques for finite difference expressions, as well as Miura-type transformations.
Synopsis: 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.
Publication: US
Imprint: American Mathematical Society
Returns: Returnable
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SOLITON EQUATIONS AND THEIR ALGEBRO-GEOMETRIC SOLUTIONS: VOLUME 2, (1+1)-DIMENSIONAL DISCRETE MODELS
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SPECTRAL THEORY AND MATHEMATICAL PHYSICS (HB)
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