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Memoirs of the American Mathematical Society
1998; 79 pp; softcover
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Order Code: MEMO/135/641
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.
Graduate students, research mathematicians and theoretical physicists working in completely integrable systems.
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