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Bound states of topological defects in parametrically excited capillary waves

  • V. O. Afenchenko
  • A. B. Ezersky
  • S. V. Kiyashko
  • A. V. Nazarovsky
Article
  • 26 Downloads

Abstract.

Bound states of topological defects arising in a tetragonal lattice formed by two orthogonal standing parametrically excited capillary surface waves are investigated. Such bound states are shown to consist either of two topological charges of one sign (type 1) or of topological charges having opposite signs (type 2). It was found that bound states of type 1 move primarily along wave fronts, and type 2 bound states move at an angle of 45 to the wave fronts forming a tetragonal lattice. A system of four coupled Ginzburg–Landau equations is proposed to model bound states. Numerical modeling of this system gave solutions corresponding to type 1 bound states observed in experiment.

Keywords

Wave Front Standing Wave European Physical Journal Special Topic Topological Charge Topological Defect 
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.

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References

  1. A. Pocheau, V. Croquette, J. Phys. (Paris) 45, 35 (1984) Google Scholar
  2. C. Perez-Garcia, P. Cerisier R. Occelli, Propagation in Systems Far from Equilibrium, edited by J.E. Wesfreid, H.R. Brand, P. Manneville, N. Boccacia (Springer Verlag, Berlin 1988), p. 232 Google Scholar
  3. S. Resenat, V. Steinberg, I. Rehberg, Phys. Rev. A 42, 5998 (1990) Google Scholar
  4. A. Joets, R. Ribbota, J. Stat. Phys. 64, 981 (1991) Google Scholar
  5. A.B. Ezersky, D.A. Ermoshin, S.V. Kiyashko, Phys. Rev. E 51, 4411 (1995) Google Scholar
  6. G. Tesauro, M.C. Cross, Phys. Rev. A 34, 1363 (1986) Google Scholar
  7. M.I. Rabinovich, L.S. Tsimring, Phys. Rev. E 49, 35 (1994) Google Scholar
  8. V.O. Afenchenko, A.B. Ezersky, S.V. Kiyashko A.V. Nazarovsky, Int. J. Bifur. Chaos 11, 1261 (2001) Google Scholar
  9. A.B. Ezersky, S.V. Kiyashko, A.V. Nazarovsky, Physica D 152–153, 310 (2001) Google Scholar
  10. G.D. Granzow, H. Riecke, Phys. Rev. Lett. 87, 174502 (2001) Google Scholar
  11. V.O. Afenchenko, A.B. Ezersky, S.V. Kiyashko, Phys. Wave Phenom. 12, 200 (2004) Google Scholar

Copyright information

© EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2007

Authors and Affiliations

  • V. O. Afenchenko
    • 1
  • A. B. Ezersky
    • 1
    • 2
  • S. V. Kiyashko
    • 1
  • A. V. Nazarovsky
    • 1
  1. 1.Russian Academy of Sciences, Institute of Applied PhysicsN. NovgorodRussia
  2. 2.UMR CNRS 6143, Université de CaenCaenFrance

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