Vortex solitons old results and new perspectives
Vortex solitons: Old results and new perspectives Authors: Boris A. Malomed Request full-text Abstract A comparative review is given of some well-known .
Vortex solitons are subject to a still stronger splitting instability. The former topic includes a new addition, closely related to the recent breakthrough, viz. The review addresses in detail two well-established topics, viz., the stabilization of vortex solitons by means of competing nonlinearities, or by trapping.
We review old and recent experimental and theoretical results on bright solitons in Bose-Einstein condensates made of alkali-metal atoms and under external . Physical realizations of multidimensional solitons in atomic Bose-Einstein condensates (BECs) and nonlinear optics are briefly discussed too.
Unlike typically stable 1D solitons, 2D and 3D ones are vulnerable to instabilities induced by the critical. Unlike 1D solitons, which are typically stable, 2D and. Two other topics included in the review outline new schemes which were recently elaborated for the creation of stable vortical solitons in BEC. In this system, the situation is drastically different in the 2D and 3D geometries.
Vortex solitons: Old results and new perspectives Authors: Boris A. Malomed Request full-text Abstract A comparative review is given of some well-known and some recent results obtained in.
We find two generic types of line solitons that we call usual line solitons and new-found ones. Vortex solitons: Old results and new perspectives. In 2D, the SOC helps to create a ground state GS, which does not exist otherwise , represented by stable SV or MM solitons, whose norm falls below the threshold value at which the critical collapse sets in.
A review is given of some well-known and some recent results for two- and three-dimensional (2D and 3D) solitons, with emphasis on states carrying embedded vorticity. For this reason, a central problem is looking for physical settings in which 2D and 3D solitons may be stabilized. Request PDF | Vortex solitons: Old results and new perspectives | A review is given of some well-known and some recent results for two- and three-dimensional (2D and 3D) solitons, with emphasis on.
. A comparative review is given of some well-known and some recent results obtained in studies of two- and three-dimensional (2D and 3D) solitons, with emphasis on states carrying embedded vorticity.
Physics > Optics
Vortex solitons are subject to a still stronger splitting instability. Boris A. A comparative review is given of some well-known and some recent results obtained in studies of two- and three-dimensional 2D and 3D solitons, with emphasis on states carrying embedded vorticity. A comparative review is given of some well-known and some recent results obtained in studies of two- and three-dimensional (2D and 3D) solitons, with emphasis on states .
Upload an image to customize your repository’s social media preview. Abstract: A review is given of some well-known and some recent results for two- and three-dimensional (2D and 3D) solitons, with emphasis on states carrying .
Vortex solitons: Old results and new perspectives – arXiv Vanity
Unlike 1D solitons, which are typically stable, 2D and 3D ones are vulnerable to instabilities induced by the occurrence of the critical and supercritical collapse, respectively, in the 2D and 3D models with the cubic self-focusing nonlinearity. A review is given of some well-known and some recent results for two- and three-dimensional (2D and 3D) solitons, with emphasis on states carrying embedded vorticity.
Physical realizations of multidimensional solitons in atomic Bose—Einstein condensates BECs and nonlinear optics are briefly discussed too. For this reason, a central problem is looking for physical settings in which 2D and 3D solitons may be stabilized.
Submission history
The usual line solitons exhibit elastic collisions, whereas the new-found ones, in the evolution process, change their waveforms from an antidark (dark) shape to a dark (antidark) one. Boris A. Malomed. A review is given of some well-known and some recent results for two- and three-dimensional (2D and 3D) solitons, with emphasis on states carrying embedded . Finally, 3D vortex solitons with S = 1 may also be stable in the system with the competing quadratic and self-defocusing cubic interactions, the corresponding relative size of the stability domain being ≈ 10 %, while all the 3D solitons with S ≥ 2 are unstable, as well as in the CQ model [65].
Images should be at least ×px (×px for best display). The review addresses in detail two well-established topics, viz.