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We derive a convex optimization problem on a steady-state nonequilibrium network of biochemical reactions, with the property that energy conservation and the second law of thermodynamics both hold a...
We demonstrate the possibility of creating domain walls described by a single component GrossPitaevskii equation with attractive interactions, in the presence of an optical–lattice potential. While i...
We consider polarons in models of coupled electronic and vibrational degrees of freedom, in the presence of a soft nonlinear inter-particle potential (Morse potential). In particular, we focus on a a ...
Motivated by recent experimental studies of matter waves and optical beams in double-well potentials, we study the corresponding solutions of the nonlinear Schrödinger equation. Using a Galerkin-...
In this paper, we study the competition of the linear and nonlinear lattices and its effects on the stability and dynamics of bright solitary waves. We consider both lattices in a perturbative framewo...
We reformulate the GrossPitaevskii equation with an external parabolic potential as a discrete dynamical system, by using the basis of Hermite functions. We consider small amplitude stationary soluti...
We consider the persistence and stability of dark solitons in the GrossPitaevskii (GP) equation with a small decaying potential. We show that families of black solitons with zero speed originate from...
In this work, we consider quasi-one-dimensional Bose–Einstein condensates (BECs), with spatially varying collisional interactions, trapped in double-well potentials. In particular, we study a setup in...
We consider the statics and dynamics of F = 1 spinor Bose–Einstein condensates (BECs) confined in double-well potentials. We use a two-mode Galerkin-type quasi-analytical approximation to describe the...
We consider the interplay of linear double-well-potential (DWP) structures and nonlinear longrange interactions of different types, motivated by applications to nonlinear optics and matter waves. We f...
We study the statics and dynamics of dark solitons in a cigar-shaped Bose-Einstein condensate confined in a double-well potential. Using a mean-field model with a noncubic nonlinearity, appropriate to...
The paper discusses the characteristics of immigrants´ internet activities and their relevance for integration processes. In a comparative perspective the authors address the relationship betwee...
The purpose of the paper is to provide precise estimates for the Green function corresponding to the operator7(l- AP2, 0 < < 2. The potential theory of this operator is based on Bessel potentials J...

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