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It is known that after a particular distance of evolution in fiber lasers,two (input) asymmetric soliton like pulses emerge as two (output) symmetricpulses having same and constant energy. We report such a compensation techniquein dispersion managed fiber lasers by means of a semi-analytical method knownas collective variable approach (CVA) with including third-order dispersion(TOD). The minimum length of fiber laser, at which the output symmetric pulsesare obtained from the input asymmetric ones, is calculated for each and everypulse parameters numerically by employing Runge-Kutta fourth order method. Theimpacts of intercore linear coupling, asymmetric nature of initial parametersand TOD on the evolution of pulse parameters and on the minimum length are alsoinvestigated. It is found that strong intercore linear coupling and asymmetricnature of input pulse parameters result in the reduction of fiber laser length.Also, the role of TOD tends to increase the width of the pulses as well astheir energies. Besides, chaotic patterns and bifurcation points on the minimumlength of the fiber owing to the impact of TOD are also reported in a nutshell.

Non-Lagrangian approach for coupled complex Ginzburg-Landau systems with higher order-dispersion