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Symmetry constraints for real dispersionless Veselov-Novikov equation
Authors:L. V. Bogdanov  B. G. Konopelchenko  A. Moro
Affiliation:(1) Landau Institute for Theoretical Physics, Moscow;(2) Dipartimento di Fisica, Università degli Studi di Lecce, Italy;(3) Dipartimento di Fisica, Università degli Studi di Lecce, Italy
Abstract:Symmetry constraints for dispersionless integrable equations are discussed. It is shown that under symmetry constraints, the dispersionless Veselov-Novikov equation is reduced to the (1+1)-dimensional hydrodynamic-type systems. __________ Translated from Fundamental’naya i Prikladnaya Matematika (Fundamental and Applied Mathematics), Vol. 10, No. 1, Geometry of Integrable Models, 2004.
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