Ankiewicz, AdrianAkhmediev, NailDevine, Natasha2015-12-081068-5200http://hdl.handle.net/1885/32444We 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.Keywords: Approximation theory; Communication channels (information theory); Fiber lasers; Lagrange multipliers; Laser mode locking; Light transmission; Complex Ginzburg-Landau equation (CGLE); Dissipative solitons; Lagrangian approach; Pulsating solitons; Solitons Dissipative solitons; Fiber lasers; Lagrangian approach200710.1016/j.yofte.2006.12.0012015-12-08