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19932026
most citedSolitons in nonlinear lattices

1k citations · 23.8k across the 731 of their papers we have counts for

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Showing 2004Show all

24 papers · 1 filter

cond-mat.other2004★ 121 cited

Spontaneous Symmetry Breaking in Photonic Lattices: Theory and Experiment

P. G. Kevrekidis, Zhigang Chen, B. A. Malomed +2

We examine an example of spontaneous symmetry breaking in a double-well waveguide with a symmetric potential. The ground state of the system beyond a critical power becomes asymmet…

cond-mat.other2004★ 29 cited

Motion of discrete solitons assisted by nonlinearity management

Jesus Cuevas, Boris A. Malomed, Panayotis G. Kevrekidis

We demonstrate that periodic modulation of the nonlinearity coefficient in the discrete nonlinear Schrödinger (DNLS) equation can strongly facilitate creation of traveling solitons…

nlin.PS2004★ 28 cited

Coupled-mode theory for spatial gap solitons in optically-induced lattices

Boris A. Malomed, Elena A. Ostrovskaya, Yuri S. Kivshar

We develop a coupled-mode theory for spatial gap solitons in the one-dimensional photonic lattices induced by interfering optical beams in a nonlinear photorefractive crystal. We d…

nlin.PS2004★ 2 cited

Optical-parametric-oscillator solitons driven by the third harmonic

Vitaly Lutsky, Boris A. Malomed

We introduce a model of a lossy second-harmonic-generating (chi^2) cavity externally pumped at the third harmonic, which gives rise to driving terms of a new type, corresponding to…

quant-ph2004★ 33 cited

Stabilization of three-dimensional matter-waves solitons in an optical lattice

M. Trippenbach, M. Matuszewski, B. A. Malomed

We propose an experimentally relevant scheme to create stable solitons in a three-dimensional Bose-Einstein condensate confined by a one-dimensional optical lattice, using temporal…

nlin.PS2004★ 49 cited

Resonant nonlinearity management for nonlinear-Schrödinger solitons

Hidetsugu Sakaguchi, Boris A. Malomed

We consider effects of a periodic modulation of the nonlinearity coefficient on fundamental and higher-order solitons in the one-dimensional NLS equation, which is an issue of dire…