Anisotropic Subdiffractive Solitons
Pattern Formation and Solitons
2015-05-30 v1
Abstract
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.
Cite
@article{arxiv.1110.0954,
title = {Anisotropic Subdiffractive Solitons},
author = {Ramon Herrero and I. V. Barashenkov and N. V. Alexeeva and Kestutis Staliunas},
journal= {arXiv preprint arXiv:1110.0954},
year = {2015}
}