The Propagation of the Front of Parametrically Excited Capillary Ripples

  • P. A. Matusov
  • L. Sh. Tsimring
Part of the Research Reports in Physics book series (RESREPORTS)


The propagation of the capillary ripple front of the surface of a fluid in a periodically oscillating vessel is investigated theoretically and experimentally. The propagation velocity of the parametric instability front is found from the linear theory; it is demonstrated that the nonlinear front propagates with linear velocity. The front of a parameterically excited ripple is obtained in laboratory conditions’ and the dependence of the front velocity on supercriticality is found experimentally.


Front Velocity Parametric Instability Tank Wall Stationary Front Instability Front 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    W.A. Wasilyev, Yu.M. Romanovsky, W.G. Yakhno. Autowave Processes. Moscow, Nauka, 1987 (in Russian).Google Scholar
  2. 2.
    M.I. Rabinovitch, D.I. Trubetskov. Introduction to the Theory of Oscillations and Waves. Moscow, Nauka, 1984 (in Russian).Google Scholar
  3. 3.
    V.E.Zakharov, V.S.L’vov, S.L.Musher. Sov.Phys.-Solid State, 1972, 14, 2913 (in Russian).Google Scholar
  4. 4.
    A.B. Yezersky, M.I. Rabinovitch, B.P. Reutov, I.S. Starobinets. Sov.Phys.-Zh. Eksp. Teor. Fiz., 1986, 91, 6 (12), 2070 (in Russian).Google Scholar
  5. 5.
    W. van Saarlos. Phys.Rev. A, 1988, 37, 1, 211.MathSciNetADSCrossRefGoogle Scholar
  6. 6.
    L.D. Landau, Ye.M. Lifshits. The Electrodynamics of Continuous Media. Moscow, Nauka, 1981 (in Russian).Google Scholar
  7. 7.
    V.A. Krasil’nikov, V.I. Pavlov. Moscow State Univ. Trans., Physics. 1972, 1, 94 (in Russian).Google Scholar
  8. 8.
    A.N. Kolmogorov, I.G. Petrovsky, N.S. Piskunov. Moscow State Univ. Bulletin, Sect. A., 1937, 1, 6, 1 (in Russian).Google Scholar
  9. 9.
    G. Dee, J.S. Langer. Phys. Rev. Lett., 1983, 50, 383.ADSCrossRefGoogle Scholar
  10. 10.
    G.E. Forsythe, W.G. Vazow. Finite-Difference Methods for Partial Differential Equations. New York, Wiley, 1959.Google Scholar

Copyright information

© Springer-Verlag Berlin, Heidelberg 1990

Authors and Affiliations

  • P. A. Matusov
    • 1
  • L. Sh. Tsimring
    • 1
  1. 1.Institute of Applied PhysicsUSSR Academy of SciencesGorkyUSSR

Personalised recommendations