Temporal Solitons in Nonlinear Media Modeled by Modified Complex Ginzburg Landau Equation Under Collective Variable Approach

In the present paper, we have investigated the possibility of the existence of soliton solution in media modeled by the modified complex Ginzburg Landau equation. We have employed the technique of collective variables (CVs) to obtain a set of six coupled ordinary differential equations, one each for all the CVs included in the ansatz for the pulse. The coupled differential equations for the collective variables have been numerically solved to reveal the pulse dynamics which show stable soliton propagation.