Exact Soliton Solution for Superfluid Film Dynamics

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概要

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• Traveling wave solutions are examined for the nonlinear wave equation i(∂ψ)/(∂t)= - (∂^2ψ)/(∂x^2)+[1-( 2 ((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.

• 社団法人日本物理学会の論文
• 1981-11-15

著者

• Kurihara Susumu

  Institute For Solid State Physics University Of Tokyo

関連論文

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• Singlet Superfluidity in ^3He Film on ^4He Film
• Collective-Mode Conductivity of TTF-TCNQ in the Metallic Phase
• Nonlinear Amplitude-Phase Interaction in Charge-Density-Wave Systems

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