Mathematics-Dynamical Systems

Perturbation theory for periodic problems in 2D integrable systems

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Title (user) : Perturbation theory for periodic problems in 2D integrable systemsTitle (google) : Perturbation Theory in Periodic Problems for Two-Dimensional Integrable SystemsISBN : 3718652188,9783718652181GoogleBook ID : Q99XtAEACAAJOpenLibrary ID : OL9709723MSeries...
Description

Title (user) : Perturbation theory for periodic problems in 2D integrable systems

Title (google) : Perturbation Theory in Periodic Problems for Two-Dimensional Integrable Systems

ISBN : 3718652188,9783718652181

GoogleBook ID : Q99XtAEACAAJ

OpenLibrary ID : OL9709723M

Series : Sci Rev.C Math.Phys.9

Authors (user) : Krichever I.M.

Authors (google) : I. M. Krichever

Language : English

Publication Date : 1992

Scanned : yes (300 DPI)

File Format : djvu

Categories : Science


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Description (user) :
The perturbation theory of finite-zone solutions of two-dimensional integrable equations is developed. As a special case the theory of perturbations of finite-zone solutions of one-dimensional evolution equations of the Lax type (the Korteweg-de Vries and Sine-Gordon equations) is considered. The spectral theory of two-dimensional periodic operators is surveyed.


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Description (google) :
The lectures that comprise this volume constitute a comprehensive survey of the many and various aspects of integrable dynamical systems. The present edition is a streamlined, revised and updated version of a 1997 set of notes that was published as Lecture Notes in Physics, Volume 495. This volume will be complemented by a companion book dedicated to discrete integrable systems. Both volumes address primarily graduate students and nonspecialist researchers but will also benefit lecturers looking for suitable material for advanced courses and researchers interested in specific topics.

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