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Noncommutative vortices and beach waves

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.

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Noncommutative vortices and beach waves

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  1. Frontiers in Nonlinear Wavesin 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

  2. Pelinovsky, Kevrekidis, Frantzeskikis 2005

  3. Circular vortex

  4. Peierls-Nabarro potential

  5. Static vortex

  6. Peierls-Nabarro potential

  7. Noncommutative NLS equation

  8. Strominger 2000.

  9. Lindstrom-Rocek 2003

  10. 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.

  11. 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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