Stability condition and dynamic behavior for one- and two-dimensional solitary waves - Stability and interaction of two vortex lines in superfluid helium

Koji Nakajima, Y. Sawada, Y. Onodera

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

A general stability condition and the interactions of particlelike solutions of one-dimensional sine-Gordon-type nonlinear partial differential equations are studied by numerical calculations and with the potentials which are derived from these equations. The stability condition is extended to the two-dimensional case and is applied to the study of the stability of a single vortex state and two-vortex interactions in superfluid helium near the λ point. It was found by numerical calculations that two-vortex filaments of the same rotation repel each other, while those with opposite rotation attract each other and annihilate, contrary to classical theory.

Original languageEnglish
Pages (from-to)170-178
Number of pages9
JournalPhysical Review B
Volume17
Issue number1
DOIs
Publication statusPublished - 1978 Jan 1

ASJC Scopus subject areas

  • Condensed Matter Physics

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