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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…
Two-dimensional loosely and tightly bound solitons in optical lattices and inverted traps
H. Sakaguchi, B. A. Malomed
We study the dynamics of nonlinear localized excitations (solitons) in two-dimensional (2D) Bose-Einstein condensates (BECs) with repulsive interactions, loaded into an optical lat…
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 Instability of the Nonlinear Schrödinger Equation with Dissipation
Z. Rapti, P. G. Kevrekidis, D. J. Frantzeskakis +1
The modulational instability of spatially uniform states in the nonlinear Schrödinger equation is examined in the presence of higher-order dissipation. The study is motivated by re…