Spatiotemporal two-dimensional solitons in the complex Ginzburg-Landau equation
Abstract
We introduce spatiotemporal solitons of the two-dimensional complex Ginzburg-Landau equation (2D CCQGLE) with cubic and quintic nonlinearities in which asymmetry between space-time variables is included. The 2D CCQGLE is solved by a powerful Fourier spectral method, i.e., a Fourier spatial discretization and an explicit scheme for time differencing. Varying the system's parameters, and using different initial conditions, numerical simulations reveal 2D solitons in the form of stationary, pulsating and exploding solitons which possess very distinctive properties. For certain regions of parameters, we have also found stable coherent structures in the form of spinning (vortex) solitons which exist as a result of a competition between focusing nonlinearities and spreading while propagating through medium.
Keywords
Cite
@article{arxiv.1302.1831,
title = {Spatiotemporal two-dimensional solitons in the complex Ginzburg-Landau equation},
author = {Florent Bérard and Stefan C. Mancas},
journal= {arXiv preprint arXiv:1302.1831},
year = {2015}
}
Comments
11 pages, 9 figures, updated references. arXiv admin note: substantial text overlap with arXiv:1301.2997