Statics and dynamics of Abrikosov vortices and of related solitons

DOI10.1016/S0034-4877(01)80008-2zbMath0990.37057OpenAlexW2005392467MaRDI QIDQ5942369

Jürgen Burzlaff

Publication date: 29 August 2001

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0034-4877(01)80008-2

zbMATH Keywords

soliton solutionsAbrikosov vorticesGinzburg-Landau theorysuperconductor

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Statistical mechanics of superconductors (82D55) Soliton equations (35Q51) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Cites Work

• Unnamed Item
• A remark on the scattering of BPS monopoles.
• Arbitrary N-vortex solutions to the first order Ginzburg-Landau equations
• The behavior at infinity of isotropic vortices and monopoles
• soliton scattering: the collective coordinate approximation
• Existence theorems for 90° vortex–vortex scattering

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