Dissipative solitons with a Lagrangian approach

We apply Lagrangian techniques to dissipative systems described by the complex Ginzburg–Landau equation (CGLE) that is used for modeling passively mode-locked fiber lasers and all-optical soliton transmission lines. In particular, using Lagrangian equations, we re-derive the known exact solutions of the CGLE. We also apply the technique to finding approximate solutions for pulsating solitons.