Dispersive shock waves in nonlinear and atomic optics
Institute of Spectroscopy, Russian Academy of Sciences, 108840, Troitsk, Moscow, Russia
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Published online: 31 October 2017
A brief review is given of dispersive shock waves observed in nonlinear optics and dynamics of Bose-Einstein condensates. The theory of dispersive shock waves is developed on the basis of Whitham modulation theory for various situations taking place in these two fields. In particular, the full classification is established for types of wave structures evolving from initial discontinuities for propagation of long light pulses in fibers with account of steepening effect and for dynamics of the polarization mode in two-component Bose-Einstein condensates.
© The Authors, published by EDP Sciences, 2017
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