Analytical spinless light-bullet solutions as attractive fixed points in the three-dimensional cubic-quintic complex Ginzburg-Landau equation

摘要

We demonstrate that there exist globally convergent infinite tanh power series with which the spinless light-bullet solutions in the(3+1)D cubic-quintic complex Ginzburg-Landau equation can be exactly expressed. It is found that as these fixed-point bullet solutions exist, the series coefficients asymptotically approach certain nonzero constants; otherwise they oscillate and eventually decay to nil. In terms of the specific Padé approximants, the analytical solutions obtained for either the conventional bullets or the composite ones are in excellent agreement with numerical simulations.