, Volume 33, Issue 6, pp 697–704 | Cite as

Solitons and their resonances on two-dimensional superfluid films

  • J Sreekumar
  • V M Nandakumaran
Condensed Matter Physics


The dynamics of saturated two-dimensional superfluid4He films is shown to be governed by the Kadomtsev-Petviashvili equation with negative dispersion. It is established that the phenomena of soliton resonance could be observed in such films. Under the lowest order nonlinearity, such resonance would happen only if two dimensional effects are taken into account. The amplitude and velocity of the resonant soliton are obtained.


Solitons superfluid4He soliton resonance Kadomtsev-Petviashvili equation 


67.40 67.50 05.03 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. Biswas A C and Warke C S 1980Phys. Rev. B22 2581ADSGoogle Scholar
  2. Biswas A C and Warke C S 1983Phys. Rev. B28 6539ADSGoogle Scholar
  3. Huberman B A 1978Phys. Rev. Lett. 41 1389CrossRefADSGoogle Scholar
  4. Kadomtsev B and Petviashvili V 1970Dokl. Akad. Nauk SSR 192 Google Scholar
  5. Korteweg D J and de Vries G 1985Philos. Mag. 39 422Google Scholar
  6. Lamb G L Jr. 1980Elements of soliton theory, (New York: John Wiley)MATHGoogle Scholar
  7. Nakajima S, Kurihara S and Tohdoh K 1980aJ. Low Temp. Phys. 39 465CrossRefADSGoogle Scholar
  8. Nakajima S, Tohdoh K and Kurihara S 1980bJ. Low Temp. Phys. 41 521CrossRefADSGoogle Scholar
  9. Ohkuma K and Wadati M 1983J. Phys. Soc. Jpn. 52 749CrossRefADSMathSciNetGoogle Scholar
  10. Radha Balakrishnan, Sridhar R and Vasudevan R 1989Phys. Rev. B39 174ADSGoogle Scholar
  11. Rutledge J E, McMillan W L, Mochel J M and Washburn T E 1978Phys. Rev. B18 2155ADSGoogle Scholar
  12. Satsuma J 1976J. Phys. Soc. Jpn. 40 286CrossRefADSMathSciNetGoogle Scholar
  13. Satsuma J and Ablowitz M J 1979J. Math. Phys. 20 1496MATHCrossRefADSMathSciNetGoogle Scholar
  14. Sreekumar J and Nandakumaran V M 1985Phys. Lett. A A112 168CrossRefADSGoogle Scholar
  15. Sreekumar J and Nandakumaran V M 1989Phys. Lett. A (Communicated)Google Scholar
  16. Tajiri M and Nishitani T 1982aJ. Phys. Soc. Jpn. 51 3720CrossRefADSMathSciNetGoogle Scholar
  17. Tajiri M and Nishitani T 1982bJ. Phys. Soc. Jpn 51 2350CrossRefADSMathSciNetGoogle Scholar
  18. Tanuiti T and Wei C C 1968J. Phys. Soc. Jpn. 73 941ADSCrossRefGoogle Scholar

Copyright information

© Indian Academy of Sciences 1989

Authors and Affiliations

  • J Sreekumar
    • 1
  • V M Nandakumaran
    • 1
  1. 1.Department of PhysicsCochin University of Science and TechnologyCochinIndia

Personalised recommendations