Soliton equations and Hamiltonian systems

✍ Scribed by L. A. Dickey

Publisher: World Scientific
Year: 2003
Tongue: English
Leaves: 401
Series: Advanced series in mathematical physics 26
Edition: 2nd ed
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

Dickey (mathematics, U. of Oklahoma) provides a detailed description of solitons, which have numerous applications in mechanics and physics. The new edition contains several additions and modifications including discussion of the Zakharov-Shabat matrix hierarchy with rational dependence on a spectral parameter, and its relationship to isomonodromic deformations. Overall, the emphasis of the second edition is on hierarchies of integrable equations rather than individual equations. The second edition also contains a new preface by the author. Chapters include Hamiltonian structure of the GD hierarchies, Kupershmidt-Wilson Theorem and modified KdV and GD, and tau functions of matrix hierarchies.

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