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Symmetry constraints for real dispersionless Veselov-Novikov equation


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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Translated from Fundamental’naya i Prikladnaya Matematika (Fundamental and Applied Mathematics), Vol. 10, No. 1, Geometry of Integrable Models, 2004.

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Bogdanov, L.V., Konopelchenko, B.G. & Moro, A. Symmetry constraints for real dispersionless Veselov-Novikov equation. J Math Sci 136, 4411–4418 (2006).

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  • Jacobi Equation
  • Symmetry Constraint
  • Soliton Equation
  • Integrable Deformation
  • Novikov Equation