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Perturbation theory for periodic problems in 2D integrable systems

✍ Scribed by Krichever I.M.

Book ID
127428665
Year
1992
Tongue
English
Weight
1 MB
Series
Sci Rev.C Math.Phys.9
Category
Library
ISBN-13
9783718652181

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✦ Synopsis

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.

πŸ“œ SIMILAR VOLUMES

Perturbation theory in large order for s
Perturbation theory in large order for some elementary systems
✍ Carl M. Bender πŸ“‚ Article πŸ“… 1982 πŸ› John Wiley and Sons 🌐 English βš– 545 KB

## Abstract Reasons for understanding the general problem of perturbation theory in large order are discussed. It is shown that the behavior of perturbation theory in larger order is generally very simple because it reflects just the semiclassical content of the theory. Many simple examples are giv