Anisotropic subdiffractive solitons

Ramon Herrero, I.V. Barashenkov, N.V. Alexeeva and Kestutis Staliunas

Chaos, Solitons & Fractals, 2011, vol. 44, issue 12, 1070-1074

Abstract: We study solitons in the two-dimensional defocusing nonlinear Schrödinger 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 Schrödinger model and in its averaged amplitude equation.

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:44:y:2011:i:12:p:1070-1074

DOI: 10.1016/j.chaos.2011.08.010

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