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Интеллектуальная Система Тематического Исследования НАукометрических данных |
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Periodic preserving deformations of the finite-gap solutions of the soliton equationsстатья
- Авторы: Grinevich P.G., Schmidt M.U.
- Сборник: Proceedings of the first workshop "Nonlinear physics. Theory and experiment"
- Год издания: 1996
- Место издания: World Scientific
- Первая страница: 124
- Последняя страница: 130
- Аннотация: Flows on the moduli space of the algebraic Riemann surfaces, preserving the periods of the corresponding solutions of the soliton equations, are studied. We show that these flows are gradient with respect to some indefinite symmetric flat metric arising in the Hamiltonian theory of the Whitham equations. The functions generating these flows are conserved quantities for all the equations simultaneously. We show that for 1+1 systems these flows can be imbedded in a larger system of ordinary nonlinear differential equations with a rational fight-hand side. Finally these flows are used to give a complete description of the moduli space of algebraic Riemann surfaces corresponding to periodic solutions of the nonlinear Schrodinger equation.
- Добавил в систему: Гриневич Петр Георгиевич