Two-dimensional dissipative solitons supported by localized gain

Details Two-dimensional dissipative solitons supported by localized gain Two-dimensional dissipative solitons supported by localized gain

2010-12-03

arxiv.org/abs/1012.0844v1

Optics Letters 36, 82 (2011)

Physics

Optics

4 pages, 5 figures, to appear in Optics Letters

Scientific paper

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.

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