Cylindrical Korteweg{endash}de Vries solitons in the vortex dynamics of an ultraclean type-II superconductor

Journal Article · Sun Dec 31 23:00:00 EST 1995 · Physical Review, B: Condensed Matter

DOI:https://doi.org/10.1103/PhysRevB.53.63· OSTI ID:434500

Coffey, M W ^[1]

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1. Program in Applied Mathematics, Campus Box 526, University of Colorado, Boulder, Colorado 80309 (United States)

A theory for weakly nonlinear and dispersive wave propagation in an Abrikosov vortex lattice in a type-II superconductor of cylindrical symmetry is presented. A continuum treatment of the London equation with vortex term is used, allowing nonlocal lattice elasticity. Vortex inertia is included, but pinning is ignored. A dynamical regime is derived where the cylindrical Korteweg{endash}de Vries (CKdV) equation governs the evolution of the first-order field corrections. Fundamental properties of the CKdV equation are briefly recalled and a prototypical soliton solution is given and discussed. Dynamical system analogies are mentioned. {copyright} {ital 1996 The American Physical Society.}

• OSTI ID: 434500
• Journal Information: Physical Review, B: Condensed Matter, Journal Name: Physical Review, B: Condensed Matter Journal Issue: 1 Vol. 53; ISSN PRBMDO; ISSN 0163-1829
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
ABRIKOSOV THEORY
DYNAMICS
ELASTICITY
KORTEWEG-DE VRIES EQUATION
LONDON EQUATION
MAGNETIC FLUX
NONLINEAR PROBLEMS
SOLITONS
TYPE-II SUPERCONDUCTORS
VORTICES
WAVE PROPAGATION