Anisotropic Subdiffractive Solitons

Details Anisotropic Subdiffractive Solitons Anisotropic Subdiffractive Solitons

2011-10-05

arxiv.org/abs/1110.0954v1

Nonlinear Sciences

Pattern Formation and Solitons

Scientific paper

We study solitons in the two-dimensional defocusing nonlinear Schroedinger equation with the spatio-temporal modulation of the external potential. The spatial modulation is due to a square lattice; the resulting macroscopic diffraction is rotationally symmetric in the long-wavelength limit but becomes anisotropic for shorter wavelengths. Anisotropic solitons -- solitons with the square (x,y)-geometry -- are obtained both in the original nonlinear Schroedinger model and in its averaged amplitude equation.

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