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Modulational instability of spatially broadband nonlinear optical pulses in four-state atomic systems
M. Marklund, P. K. Shukla, R. Bingham +1
The modulational instability of broadband optical pulses in a four-state atomic system is investigated. In particular, starting from a recently derived generalized nonlinear Schröd…
Ultra-short solitons and kinetic effects in nonlinear metamaterials
M. Marklund, P. K. Shukla, L. Stenflo
We present a stability analysis of a modified nonlinear Schroedinger equation describing the propagation of ultra-short pulses in negative refractive index media. Moreover, using m…
Modulational instability in asymmetric coupled wave functions
I. Kourakis, P. K. Shukla
The evolution of the amplitude of two nonlinearly interacting waves is considered, via a set of coupled nonlinear Schroedinger-type equations. The dynamical profile is determined b…
A kinetic approach to Bose-Einstein condensates: self-phase modulation and Bogoliubov oscillations
J. T. Mendonca, R. Bingham, P. K. Shukla
A kinetic approach to the Bose-Einstein condensates (BECs) is proposed, based on the Wigner-Moyal equation (WME). In the quasi-classical limit, the WME reduces to the particle numb…