FPM 2004, vol. 10, no. 1, pp. 5-15

FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2004, VOLUME 10, NUMBER 1, PAGES 5-15

Symmetry constraints for real dispersionless Veselov--Novikov equation

L. V. Bogdanov
B. G. Konopelchenko
A. Moro

Abstract

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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.

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