Noncommutative vortices and beach waves G. Cruz L.R. Juárez A. A. Minzoni M. Rosenbaum IIMAS-FENOMEC, UNAM Frontiers in Nonlinear Waves in honor of Vladimir Zakharov's 70th birthday
Noncommutative vortices and beach waves
Dec 31, 2015
Frontiers in Nonlinear Waves in honor of Vladimir Zakharov's 70th birthday. Noncommutative vortices and beach waves. G. Cruz L.R. Juárez A. A. Minzoni M. Rosenbaum. IIMAS-FENOMEC, UNAM. Pelinovsky, Kevrekidis, Frantzeskikis 2005. Circular vortex. Peierls-Nabarro potential. Static vortex. - PowerPoint PPT Presentation
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Noncommutative vortices and beach waves
G. Cruz
L.R. Juárez
A. A. Minzoni
M. Rosenbaum
IIMAS-FENOMEC, UNAM
Frontiers in Nonlinear Wavesin honor of Vladimir Zakharov's 70th birthday
Pelinovsky, Kevrekidis, Frantzeskikis 2005
Circular vortex
Peierls-Nabarro potential
Static vortex
Peierls-Nabarro potential
Noncommutative NLS equation
Strominger 2000.
Lindstrom-Rocek 2003
Modulation equations
The last expression is the equation of motion for the peak of the vortex, analogous to a particle in a Peierls-Nabarro potential.
Large vortex with low energy
The vortex moves in the lattice generated by the *-product.
The fixed points are the equilibrium positions
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