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11 papers · 2 filters
Fusion of necklace-ring patterns into vortex and fundamental solitons in dissipative media
Y. J. He, Boris A. Malomed, H. Z. Wang
We demonstrate that necklace-shaped arrays of localized spatial beams can merge into stable fundamental or vortex solitons in a generic model of laser cavities, based on the two-di…
Drift instability and tunneling of lattice solitons
Y. Sivan, G. Fibich, B. Ilan
We derive an analytic formula for the lateral dynamics of solitons in a general inhomogeneous nonlinear media, and show that it can be valid over tens of diffraction lengths. In pa…
Two-dimensional discrete solitons in rotating lattices
J. Cuevas, B. A. Malomed, P. G. Kevrekidis
We introduce a two-dimensional (2D) discrete nonlinear Schrödinger (DNLS) equation with self-attractive cubic nonlinearity in a rotating reference frame. The model applies to a Bos…
Spontaneous soliton symmetry breaking in two-dimensional coupled Bose-Einstein condensates supported by optical lattices
Arthur Gubeskys, Boris A. Malomed
Models of two-dimensional (2D) traps, with the double-well structure in the third direction, for Bose-Einstein condensate (BEC) are introduced, with attractive or repulsive interac…
Generation of the second-harmonic Bessel beams via nonlinear Bragg diffraction
Solomon M. Saltiel, Dragomir N. Neshev, Robert Fischer +3
We generate conical second-harmonic radiation by transverse excitation of a two-dimensional annular periodically-poled nonlinear photonic structure with a fundamental Gaussian beam…
Analytic theory of narrow lattice solitons
Y. Sivan, G. Fibich, N. K. Efremidis +1
The profiles of narrow lattice solitons are calculated analytically using perturbation analysis. A stability analysis shows that solitons centered at a lattice (potential) maximum…