ALGEBRO-GEOMETRIC QUASI-PERIODIC FINITE-GAP SOLUTIONS OF THE TODA AND KAC-VAN MOERBEKE HIERARCHIES by W. Bulla, etc., Fritz Gesztesy ( 9780821808085 )

Item Details

Title:

ALGEBRO-GEOMETRIC QUASI-PERIODIC FINITE-GAP SOLUTIONS OF THE TODA AND KAC-VAN MOERBEKE HIERARCHIES

By:

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:

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:

Imprint:

American Mathematical Society

Returns:

Returnable

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