The Whitham approach to dispersive shocks in systems with cubic–quintic nonlinearities
Type
ArticleKAUST Department
PRIMALIGHT Research GroupElectrical Engineering Program
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Date
2012-09-12Permanent link to this record
http://hdl.handle.net/10754/554390
Metadata
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By employing a rigorous approach based on the Whitham modulation theory, we investigate dispersive shock waves arising in a high-order nonlinear Schrödinger equation with competing cubic and quintic nonlinear responses. This model finds important applications in both nonlinear optics and Bose–Einstein condensates. Our theory predicts the formation of dispersive shocks with totally controllable properties, encompassing both steering and compression effects. Numerical simulations confirm these results perfectly. Quite remarkably, shock tuning can be achieved in the regime of a very small high order, i.e. quintic, nonlinearity.Citation
The Whitham approach to dispersive shocks in systems with cubic–quintic nonlinearities 2012, 14 (9):093019 New Journal of PhysicsPublisher
IOP PublishingJournal
New Journal of PhysicsAdditional Links
http://stacks.iop.org/1367-2630/14/i=9/a=093019?key=crossref.13a4ffad594e9d0d75197777285c9006ae974a485f413a2113503eed53cd6c53
10.1088/1367-2630/14/9/093019