Abstract
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.
Highlights
Dispersive shock waves (DSWs) are universal phenomena of nonlinear physics
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
Summary
Dispersive shock waves (DSWs) are universal phenomena of nonlinear physics. They were observed in water waves, plasma, solid state physics, nonlinear optics and dynamics of Bose-Einstein condensates (BECs). 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.
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