Journal article
A class of vortex filament solitons in fluids, plasmas, and superconductors
Journal of mathematical physics, v 51(10), pp 103519-103519-22
Oct 2010
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Abstract
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.
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Details
- Title
- A class of vortex filament solitons in fluids, plasmas, and superconductors
- Creators
- Ron Perline - Department of Mathematics, Drexel University, Philadelphia, Pennsylvania 19104, USA
- Publication Details
- Journal of mathematical physics, v 51(10), pp 103519-103519-22
- Publisher
- American Institute of Physics (AIP)
- Number of pages
- 22
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Web of Science ID
- WOS:000283750800048
- Scopus ID
- 2-s2.0-78149444051
- Other Identifier
- 991019172592804721
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- Web of Science research areas
- Physics, Mathematical