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Instabilities and bifurcations of nonlinear impurity modes
Stability of nonlinear discrete impurity mode nonlinear schrodinger equation the discrete soliton discrete breathing
2014/12/29
We study the structure and stability of nonlinear impurity modes in the discrete nonlinear Schrödinger equation with a single on-site nonlinear impurity emphasizing the effects of interplay betwe...
Modulational instabilities and domain walls in coupled discrete nonlinear Schrödinger equations
Discrete nonlinear schrodinger equation linear coupling plane wave coupling
2014/12/29
We consider a system of two discrete nonlinear Schrödinger equations, coupled by nonlinear and linear terms. For various physically relevant cases, we derive a modulational instability criterion ...
Parametric and modulational instabilities of the discrete nonlinear Schrödinger equation
The coupling instability discrete nonlinear schrodinger equation condensate dynamics
2014/12/29
We examine the parametric and modulational instabilities arising in a non-autonomous, discrete nonlinear Schrödinger equation. The principal motivation for our study stems from the dynamics of Bo...
PATTERN FORMING DYNAMICAL INSTABILITIES OF BOSE–EINSTEIN CONDENSATES
Power is not stable condensate lattice
2014/12/29
In this short topical review, we revisit a number of works on the pattern-forming dynamical instabilities of Bose–Einstein condensates in one- and two-dimensional settings. In particular, we illustrat...