Point symmetries of the Lie of the complex Ginzburg-Landau equation

A soliton is a nonlinear single moving wave that retains its shape and velocity during movement, is, it constant formation, when collides with isolated waves similar to itself, the phenomenon of mutual phase shift two occurs, only result interaction solitons may be some kind in phase. In this paper, we will study distribution complex Ginzburg-Landau equation (CGL) regime focuses on itself presence symmetric Gaussian potential. For many decades, systems have attracted researchers theoretically experimentally their rich dynamic characteristics. Such can conservative (closed) or dissipative (open), both support solitons. nothing but profile light pulses an optical system. case system, addition dispersion equilibrium, possible continuously propagate pulse achieve balance between dissipation (loss) gain. This means system cannot continuous families systems. other words, determined by parameters while input pulse. increases experimental feasibility determining area stable simply manipulating