Solitons in superfluid 4He films

Sadao Nakajimia, Susumu Kurihara, Kiyoshi Tohdoh

Research output: Contribution to journalArticle

15 Citations (Scopus)

Abstract

The Korteweg-de Vries (KdV) equation is derived from Landau two-fluid hydrodynamics applied to the thickness oscillation of the superfluid 4He film at low temperatures, where the main restoring force is van der Waals attraction from the substrate and the thermomechanical force due to phonons is a small correction. Since the usual third-sound generators and detectors are far wider than the individual solitons, the asymptotic solution of the KdV equation provided by the inverse scattering method is coarse-grained by regarding it as a continuous train of sharp pulses. The envelope so obtained still shows a singular front proportional to (t-t0)-1/2, where t0 is the arrival time of the fastest soliton, and should therefore be observable with the appropriate experimental arrangement.

Original languageEnglish
Pages (from-to)465-475
Number of pages11
JournalJournal of Low Temperature Physics
Volume39
Issue number5-6
DOIs
Publication statusPublished - 1980 Jun
Externally publishedYes

Fingerprint

Korteweg-de Vries equation
Solitons
sound generators
sound transducers
Acoustic generators
solitary waves
Van der Waals forces
inverse scattering
Phonons
attraction
arrivals
phonons
envelopes
Hydrodynamics
hydrodynamics
Scattering
Detectors
oscillations
Fluids
fluids

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

Cite this

Nakajimia, S., Kurihara, S., & Tohdoh, K. (1980). Solitons in superfluid 4He films. Journal of Low Temperature Physics, 39(5-6), 465-475. https://doi.org/10.1007/BF00114890

Solitons in superfluid 4He films. / Nakajimia, Sadao; Kurihara, Susumu; Tohdoh, Kiyoshi.

In: Journal of Low Temperature Physics, Vol. 39, No. 5-6, 06.1980, p. 465-475.

Research output: Contribution to journalArticle

Nakajimia, S, Kurihara, S & Tohdoh, K 1980, 'Solitons in superfluid 4He films', Journal of Low Temperature Physics, vol. 39, no. 5-6, pp. 465-475. https://doi.org/10.1007/BF00114890
Nakajimia, Sadao ; Kurihara, Susumu ; Tohdoh, Kiyoshi. / Solitons in superfluid 4He films. In: Journal of Low Temperature Physics. 1980 ; Vol. 39, No. 5-6. pp. 465-475.
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