Exact Soliton Solution for Superfluid Film Dynamics

Susumu Kurihara

研究成果: Article査読

11 被引用数 (Scopus)

抄録

Traveling wave solutions are examined for the nonlinear wave equation i∂ψ/ ∂t=-∂2ψ/∂x2 + [-(1+d/1+d|ψ|2)2]ψ, which describes the dynamics of condensate wave function ψ(x, t) in superfluid film of mean thickness d. An exact one-soliton solution is obtained analytically for arbitrary amplitude, and this suggests that the "quasi-solitons" found in the previous numerical work are stable at least in the asymptotic situation where quasi-solitons are essentially non-overlapping. It is shown explicitly that our solution reduces, in small amplitude regime, to the Korteweg-de Vries one-soliton solution.

本文言語English
ページ(範囲)3801-3805
ページ数5
ジャーナルJournal of the Physical Society of Japan
50
11
出版ステータスPublished - 1981 11
外部発表はい

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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