Fundamental and vortex dissipative quadratic solitons supported by spatially localized gain

  title={Fundamental and vortex dissipative quadratic solitons supported by spatially localized gain},
  author={Valery E. Lobanov and Aleksey A. Kalinovich and Olga V. Borovkova and Boris A. Malomed},
  journal={Physical Review A},
We consider settings providing the existence of stable two-dimensional (2D) dissipative solitons with zero and nonzero vorticity in optical media with the quadratic (   2  ) nonlinearity. To compensate the spatially uniform loss in both the fundamental-frequency (FF) and secondharmonic (SH) components of the system, a strongly localized amplifying region (“hot spot”, HS), carrying the linear gain, is included, acting onto either the FF component or SH one. In both cases, the Gaussian radial… 

Multidimensional dissipative solitons and solitary vortices

  • B. Malomed
  • Physics
    Chaos, Solitons & Fractals
  • 2022

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