|
ИСТИНА |
Войти в систему Регистрация |
ФНКЦ РР |
||
The initial boundary value problem on the interval for the Nonlinear Schrodinger equation; the algebro-geometric approach. Iстатья
- Авторы: Grinevich P.G., Santini P.M.
- Журнал: American Mathematical Society Translations - Series 2, Advances in the Mathematical Sciences
- Том: 212
- Год издания: 2004
- Издательство: American Mathematical Society
- Местоположение издательства: United States
- Первая страница: 157
- Последняя страница: 178
- Аннотация: This is the first of a series of papers devoted to the study of classical initial-boundary value problems of Dirichlet, Neumann and mixed type for the Nonlinear Schr ̈odinger equation on the segment. Considуring proper periodic discontinuous extensions of the profile, generated by suitable point-like sources, we show that the above boundary value problems can be rewritten as nonlinear dynamical systems for suitable sets of algebro-geometric spectral data, generalizing the classical Dubrovin equations. In this paper we consider, as a first illustration of the above method, the case of the Dirichlet problem on the segment with zero-boundary value at one end, and we show that the corresponding dynamical system for the spectral data can be written as a system of ODEs with algebraic right-hand side.
- Добавил в систему: Гриневич Петр Георгиевич