Abstract
A new set of symmetries of the Whitham equations (averaged Korteweg-de-Vries equations) is constructed. These symmetries form a noncommutative algebra (isomorphic to the algebra of polynomial vector fields on the complex plane), explicitly depend upon the coordinates and time and act nontrivialy at the constant Whitham solutions.
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© 1993 Springer-Verlag Berlin Heidelberg
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Grinevich, P.G. (1993). The Action of the Virasoro Nonisospectral KdV Symmetries of the Whitham Equations. In: Fokas, A.S., Kaup, D.J., Newell, A.C., Zakharov, V.E. (eds) Nonlinear Processes in Physics. Springer Series in Nonlinear Dynamics . Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-77769-1_19
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DOI: https://doi.org/10.1007/978-3-642-77769-1_19
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