161 citations · 533 across the 23 of their papers we have counts for
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Modulational Instabilities and Domain Walls in Coupled Discrete Nonlinear Schrödinger Equations
Z. Rapti, A. Trombettoni, P. G. Kevrekidis +3
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 instabi…
Modulational Instability in Bose-Einstein Condensates under Feshbach Resonance Management
Z. Rapti, G. Theocharis, P. G. Kevrekidis +1
We investigate the modulational instability of nonlinear Schr{ö}dinger equations with periodic variation of their coefficients. In particular, we focus on the case of the recently…
On the modulational stability of Gross-Pitaevskii type equations in 1+1 dimensions
G. Theocharis, Z. Rapti, P. G. Kevrekidis +2
The modulational stability of the nonlinear Schr{ö}dinger (NLS) equation is examined in the case with a quadratic external potential. This study is motivated by recent experimental…
Variational Approach to the Modulational Instability
Z. Rapti, P. G. Kevrekidis, A. Smerzi +1
We study the modulational stability of the nonlinear Schrödinger equation (NLS) using a time-dependent variational approach. Within this framework, we derive ordinary differential…
Modulational and Parametric Instabilities of the Discrete Nonlinear Schrödinger Equation
Z. Rapti, P. G. Kevrekidis, A. Smerzi +1
We examine the modulational and parametric instabilities arising in a non-autonomous, discrete nonlinear Schr{ö}dinger equation setting. The principal motivation for our study stem…
On the modulational stability of Gross-Pittaevskii type equations in 1+1 dimensions
Z. Rapti, P. G. Kevrekidis, V. V. Konotop
The modulational stability of the nonlinear Schr{ö}dinger (NLS) equation is examined in the cases with linear and quadratic external potential. This study is motivated by recent ex…