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Spatial optical solitons. (English) Zbl 1030.78009
Christiansen, P. L. (ed.) et al., Nonlinear science at the dawn of the 21st century. Berlin: Springer. Lect. Notes Phys. 542, 173-194 (2000).
Summary: A brief overview of the recent advances in the theoretical and experimental study of self-focusing and self-trapping of light is given. Physical mechanisms of self-trapping and different types of self-trapped beams spatial optical solitons, and their stability are discussed including solitons of non-Kerr media, self-trapped beams and their spiralling in photorefractive crystals, multi-hump solitons and solitonic gluons, discrete solitons in wave guide arrays, etc. A brief summary of the earlier and more recent experimental observations of spatial solitons, transverse instabilities, and soliton interactions is included as well.
For the entire collection see [Zbl 0934.00006].

78A60 Lasers, masers, optical bistability, nonlinear optics
35Q60 PDEs in connection with optics and electromagnetic theory
35Q51 Soliton equations
78-02 Research exposition (monographs, survey articles) pertaining to optics and electromagnetic theory