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Nonisospectral symmetries of the KdV equation and the corresponding symmetries of the Whitham equationsстатья
- Автор: Grinevich P.G.
- Сборник: Singular Limits of Dispersive Waves, ed. by N.M.Ercolany, I.R.Gabitov, C.D.Levermore, D.Serre
- Серия: NATO Science Series B: Physics
- Том: 320
- Год издания: 1994
- Место издания: Plenum
- Первая страница: 67
- Последняя страница: 88
- Аннотация: In our paper we construct a new infinite family of symmetries of the Whitham equations (averaged Korteveg-de-Vries equation). In contrast with the ordinary hydrodynamic-type flows these symmetries are nonhomogeneous (i.e. they act nontrivially at the constant solutions), are nonlocal, explicitly depend upon space and time coordinates and form a noncommutative algebra, isomorphic to the algebra of the polynomial vector fields in the complex plane.
- Добавил в систему: Гриневич Петр Георгиевич