TY - JOUR
T1 - Spatiotemporal Two-Dimensional Solitons in the Complex Ginzburg-Landau Equation
AU - Mancas, S.C.
AU - Berard, Florent
AU - Mancas, Stefani
PY - 2010/10
Y1 - 2010/10
N2 - 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.
AB - 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.
UR - https://commons.erau.edu/cgi/viewcontent.cgi?article=1799amp;context=publication
U2 - 10.48550/arXiv.1302.1831
DO - 10.48550/arXiv.1302.1831
M3 - Article
VL - 8
JO - Advances and Applications in Fluid Dynamics
JF - Advances and Applications in Fluid Dynamics
ER -