Two-dimensional dissipative solitons supported by localized gain
Optics
2015-05-20 v1 Pattern Formation and Solitons
Abstract
We show that the balance between localized gain and nonlinear cubic dissipation in the twodimensional nonlinear Schrodinger equation allows for existence of stable two-dimensional localized modes which we identify as solitons. Such modes exist only when the gain is strong enough and the energy flow exceeds certain threshold value. The observed solitons neither undergo diffractive spreading nor collapse. Above the critical value of the gain the symmetry breaking occurs and asymmetric dissipative solitons emerge.
Cite
@article{arxiv.1012.0844,
title = {Two-dimensional dissipative solitons supported by localized gain},
author = {Yaroslav V. Kartashov and Vladimir V. Konotop and Victor A. Vysloukh},
journal= {arXiv preprint arXiv:1012.0844},
year = {2015}
}
Comments
4 pages, 5 figures, to appear in Optics Letters