Published October 2010
| Version v1
Journal article
A class of vortex filament solitons in fluids, plasmas, and superconductors
Creators
- 1. Department of Mathematics, Drexel University, Philadelphia, Pennsylvania 19104 (United States)
Description
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.
Additional details
Identifiers
- DOI
- 10.1063/1.3496994;
Publishing Information
- Journal Title
- Journal of Mathematical Physics
- Journal Volume
- 51
- Journal Issue
- 10
- Journal Page Range
- p. 103519-103519.22
- ISSN
- 0022-2488
- CODEN
- JMAPAQ
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 42072376
- Subject category
- S75: CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY;
- Descriptors DEI
- FILAMENTS; FLUIDS; IDEAL FLOW; INDUCTION; INTEGRAL CALCULUS; INTEGRAL EQUATIONS; MATHEMATICAL SOLUTIONS; MODIFICATIONS; PLASMA; SOLITONS; SPHERICAL CONFIGURATION; SUPERCONDUCTORS; VORTICES
- Descriptors DEC
- CONFIGURATION; EQUATIONS; FLUID FLOW; INCOMPRESSIBLE FLOW; MATHEMATICS; QUASI PARTICLES; STEADY FLOW
Optional Information
- Notes
- (c) 2010 American Institute of Physics