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The 1+2D nonlocal nonlinear Schrdinger equation can be transformed to the variational approach in a cylindrical coordinate system, and is applied to a model describing the propagation of optical beam in strongly nonlocal nonlinear media. By solving variational problems with expanding media response functions and assuming reasonable ansatz, the solution of the Laguerre-Gauss form is obtained. The Laguerre-Gaussian beams will form solitons or be reduced to Gaussian beams under certain conditions.
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Keywords:
- nonlocal nonlinear media /
- strong nonlocality /
- variational approach /
- Laguerre-Gaussian beams
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