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Perturbation theory for periodic problems in 2D integrable systems

Обложка книги Perturbation theory for periodic problems in 2D integrable systems

Perturbation theory for periodic problems in 2D integrable systems

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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