科研之友
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摘要
We consider the Uby-Isichenko-Yankov (UIY) equation for vortex filament dynamics in plasmas and superconductors. This is a perturbation of the localized induction equation (LIE), which is itself an integrable model of filament motion in an ideal fluid. We present a novel class of solutions for a time-modulated modification of UIY; namely, vortex configurations which are evolving spherical curves of varying radius. These solutions can be considered as generalizations of a well-known class of soliton solutions for LIE.
- 出版日期2010-10
