Stable soliton propagation in a coupled (2+1) dimensional Ginzburg-Landau system

A coupled (2+1)-dimensional variable coefficient Ginzburg-Landau equation is studied. By virtue of the modified Hirota bilinear method, the bright one-soliton solution of the equation is derived. Some phenomena of soliton propagation are analyzed by setting different dispersion terms. The influences of the corresponding parameters on the solitons are also discussed. The results can enrich the soliton theory, and may be helpful in the manufacture of optical devices.