TY - JOUR
T1 - The Whitham approach to dispersive shocks in systems with cubic–quintic nonlinearities
AU - Crosta, M
AU - Trillo, S
AU - Fratalocchi, Andrea
N1 - KAUST Repository Item: Exported on 2020-10-01
PY - 2012/9/12
Y1 - 2012/9/12
N2 - 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.
AB - 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.
UR - http://hdl.handle.net/10754/554390
UR - http://stacks.iop.org/1367-2630/14/i=9/a=093019?key=crossref.13a4ffad594e9d0d75197777285c9006
UR - http://www.scopus.com/inward/record.url?scp=84866332695&partnerID=8YFLogxK
U2 - 10.1088/1367-2630/14/9/093019
DO - 10.1088/1367-2630/14/9/093019
M3 - Article
SN - 1367-2630
VL - 14
SP - 093019
JO - New Journal of Physics
JF - New Journal of Physics
IS - 9
ER -