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Krichever I.M. — Perturbation theory in periodic problems for two-dimensional integrable systems
Krichever I.M. — Perturbation theory in periodic problems for two-dimensional integrable systems

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Название: Perturbation theory in periodic problems for two-dimensional integrable systems

Автор: Krichever I.M.

Аннотация:

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.


Язык: en

Рубрика: Физика/Динамические системы/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1992

Количество страниц: 103

Добавлена в каталог: 20.09.2005

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Предметный указатель
Periodic problem for KP-type equations, perturbation theory for flnite-zone solutions of KP-2      73
Periodic problem for KP-type equations, quasiclassical limit of two-dimensional integrable equations, Khokhlov — Zabolotskaya equation      82
Periodic problem for KP-type equations, Whitham equations for spatially two-dimensional integrable systems      78
Perturbation theory of finite-zone solutions of evolution Lax-type equations      8
Perturbation theory of finite-zone solutions of evolution Lax-type equations, KdV equation      13
Perturbation theory of finite-zone solutions of evolution Lax-type equations, Sine — Gordon equation      27
Spectral theory of non-stationary Schroedinger operators, finite-zone case      38
Spectral theory of non-stationary Schroedinger operators, perturbation theory for formal Bloch solutions      46
Spectral theory of non-stationary Schroedinger operators, structure of Riemann surface for Bloch functions      53
Spectral theory of non-stationary Schroedinger operators, theorem on approximation      63
Spectral theory of non-stationary Schroedinger operators, theorem on completeness for products of Bloch functions      66
Spectral theory of two-dimensional periodic Schroedinger operators, perturbation theory for formal Bloch solutions      83
Spectral theory of two-dimensional periodic Schroedinger operators, structure of complex ‘Fermi curves’      90
Spectral theory of two-dimensional periodic Schroedinger operators, ‘finite zone with respect to level $E_0$’ two-dimensional periodic Schroedinger operators      93
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