dorsal/arxiv
View SchemaNonisospectral symmetries of the KdV equation and the corresponding symmetries of the Whitham equations
| Authors | P. G. Grinevich |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9509004 |
| URL | https://arxiv.org/abs/solv-int/9509004 |
Abstract
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 (Virasoro algebra with the zero central charge).
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"abstract": "In our paper we construct a new infinite family of symmetries of the Whitham\nequations (averaged Korteveg-de-Vries equation). In contrast with the ordinary\nhydrodynamic-type flows these symmetries are nonhomogeneous (i.e. they act\nnontrivially at the constant solutions), are nonlocal, explicitly depend upon\nspace and time coordinates and form a noncommutative algebra, isomorphic to the\nalgebra of the polynomial vector fields in the complex plane (Virasoro algebra\nwith the zero central charge).",
"arxiv_id": "solv-int/9509004",
"authors": [
"P. G. Grinevich"
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"categories": [
"solv-int",
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"title": "Nonisospectral symmetries of the KdV equation and the corresponding symmetries of the Whitham equations",
"url": "https://arxiv.org/abs/solv-int/9509004"
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