Journal of Mathematical Sciences

, Volume 136, Issue 6, pp 4411–4418 | Cite as

Symmetry constraints for real dispersionless Veselov-Novikov equation

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


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.


Jacobi Equation Symmetry Constraint Soliton Equation Integrable Deformation Novikov Equation 
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Copyright information

© Springer Science+Business Media, Inc. 2006

Authors and Affiliations

  • L. V. Bogdanov
    • 1
  • B. G. Konopelchenko
    • 2
  • A. Moro
    • 3
  1. 1.Landau Institute for Theoretical PhysicsMoscow
  2. 2.Dipartimento di FisicaUniversità degli Studi di LecceItaly
  3. 3.Dipartimento di FisicaUniversità degli Studi di LecceItaly

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