L. V. Bogdanov, B. G. Konopelchenko, A. Moro, “Symmetry constraints for real dispersionless Veselov–Novikov equation”, Fundam. Prikl. Mat., 2004, Volume 10, Issue 1,Pages <nobr>5

This article is cited in 4 papers

Symmetry constraints for real dispersionless Veselov–Novikov equation

L. V. Bogdanov^a, B. G. Konopelchenko^bc, A. Moro^bc

^a L. D. Landau Institute for Theoretical Physics, Russian Academy of Sciences
^b INFN — National Institute of Nuclear Physics
^c Lecce University

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.

UDC: 517.957