Abstract
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.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References and links
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).
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).
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, http://arXiv.org/abs/physics/010l007
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2003 Springer Science+Business Media New York
About this paper
Cite this paper
Fedorova, A.N., Zeitlin, M.G. (2003). Pattern Formation, Localization and Coherent Structures in Nonlinear Wave Dynamics. In: Bigelow, N.P., Eberly, J.H., Stroud, C.R., Walmsley, I.A. (eds) Coherence and Quantum Optics VIII. Springer, Boston, MA. https://doi.org/10.1007/978-1-4419-8907-9_103
Download citation
DOI: https://doi.org/10.1007/978-1-4419-8907-9_103
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4613-4715-6
Online ISBN: 978-1-4419-8907-9
eBook Packages: Springer Book Archive