Perturbation theory in periodic problems for two-dimensional integrable systems
By: I.M. Krichever, L.D. ; edited by A.T. Fomenko, Moscow State University
Contributors: Fomenko, A. T., editor
Series: Reviews in Mathematics and Mathematical Physics -- Volume 14, part 3; Reviews in mathematics and mathematical physics -- v.14, pt. 3.
Publisher: Cambridge Scientific Publishers
Published: 2013
Place of publication: Cambridge
Language: eng
Number of pages: 103
ISBN-13: 9781908106278
Copyright date: 2013
Subjects: Perturbation (Mathematics)
Description: 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 special theory of two-dimensional periodic operators is surveyed.--
Notes: "First published in 1992 as part of the series Soviet Scientific Reviews: Mathematical Physics Reviews edited by Professor S.P. Novikov."

Includes bibliographical references and index.
Table of contents: title: Preface; title: Introduction; title: Perturbation theory of finite-zone solutions of evolution lax-type equations; title: 2. Spectral theory of non-stationary Schrodinger operators; title: Periodic problem for Kadomtsev-Petviashvilli-type equations; title: 4. Spectral theory of two-dimensional periodic Schrodinger operators.