2010/12/03 by Yaroslav V. Kartashov, Vladimir V. Konotop, Victor A. Vysloukh
Physics and Astronomy · #physics.optics #nlin.PS
paper · pdf · doi:10.1364/ol.36.000082
published as Optics Letters 36, 82 (2011) · 4 pages, 5 figures, to appear in Optics Letters
arxiv created 2010/12/03 · arxiv updated 2015/05/20
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.