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Modulational instability of Gross-Pitaevskii-type equations in 1+1 dimensions
The coupling instability nonlinear schrodinger equation matter waves lens type conversion
2014/12/29
The modulational instability of the nonlinear Schrödinger (NLS) equation is examined in the case with a quadratic external potential. This study is motivated by recent experimental results in the...
Modulational Instability in Bose–Einstein Condensates under Feshbach Resonance Management
Coupled nonlinear schrodinger equation instability condensate the stability of linear equation
2014/12/29
We investigate the modulational instability of nonlinear Schrödinger equations with periodic variation of their coefficients. In particular, we focus on the case of the recently proposed, experim...
Variational approach to the modulational instability
Coupling nonlinear schrodinger equation the coupling disturbance amplitude condensed bose - Einstein
2014/12/29
We study the modulational stability of the nonlinear Schrödinger equation using a time-dependent variational approach. Within this framework, we derive ordinary differential equations (ODE’s) for...
On the Modulational Instability of the Nonlinear Schrödinger Equation with Dissipation
Space is unified nonlinear schrodinger equation the high order dissipation condensate
2014/12/29
The modulational instability (MI) of spatially uniform states in the nonlinear Schrödinger (NLS) equation is examined in the presence of higher-order dissipation. The study is motivated by result...
Modulational Instability in a Layered Kerr Medium: Theory and Experiment
The coupling instability material properties the theory of linear coupling
2014/12/25
We present the first experimental investigation of modulational instability in a layered Kerr medium. The particularly interesting and appealing feature of our configuration, consisting of alternating...
Modulational instability in nonlinearity-managed optical media
Numerical simulation of the instability cubic nonlinear optical dielectric glass air
2014/12/25
We investigate analytically, numerically, and experimentally the modulational instability in a layered, cubically nonlinear (Kerr) optical medium that consists of alternating layers of glass and air. ...
Azimuthal modulational instability of vortices in the nonlinear Schrodinger equation
Vortex the two-dimensional nonlinear Lagrange function one-dimensional azimuth equation of motion the Fourier model of spatial orientation
2014/12/24
We study the azimuthal modulational instability of vortices with different topological charges, in the focusing two-dimensional nonlinear Schrödinger (NLS) equation. The method of studying the st...
Controlling the transverse instability of dark solitons and nucleation of vortices by a potential barrier
Inhibition of dark soliton stripes instability two-dimensional condensate one dimensional structure
2014/12/24
We study possibilities to suppress the transverse modulational instability (MI) of dark-soliton stripes in two-dimensional Bose-Einstein condensates (BEC’s) and self-defocusing bulk optical waveguides...