Pattern Formation, Localization and Coherent Structures in Nonlinear Wave Dynamics

  • Antonina N. Fedorova
  • Michael G. Zeitlin
Conference paper


We apply variational-wavelet approach for constructing multiscale high-localized eigenmodes expansions in different models of nonlinear waves. We demonstrate appearance of coherent localized structures and stable pattern formation in different collective dynamics models.

CIS codes

(030.0030) Coherence and statistical optics (000.3860) Mathematical methods in physics 

References and links

  1. 1.
    A.N. Fedorova, M.G. Zeitlin, “Variational Approach in Wavelet Framework to Polynomial Approximations of Nonlinear Accelerator Problems”, American Institute of Physics, Conf. Proc., 468, Nonlinear and Collective Phenomena in Beam Physics, 48–68, (1999).ADSGoogle Scholar
  2. 2.
    A.N. Fedorova, M.G. Zeitlin, “Variational-Wavelet Approach to RMS Envelope Equations”, Proc. 2nd Advanced Accelerator Workshop on The Physics of High Brightness Beams pp. 235–254, World Scientific, (2000).Google Scholar
  3. 3.
    A.N. Fedorova, M.G. Zeitlin, “Localized Coherent Structures and Patterns Formation in Collective Models of Beam Motion”, Quantum Aspects of Beam Physics, World Scientific, (2001); Los Alamos preprint, physics/0l0l007, Scholar

Copyright information

© Springer Science+Business Media New York 2003

Authors and Affiliations

  • Antonina N. Fedorova
  • Michael G. Zeitlin
    • 1
  1. 1.Institute of Problems of Mechanical EngineeringRussian Academy of SciencesSt. PetersburgRussia

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