Soliton Rectangular Pulses and Bound States in a Dissipative System Modeled by the Variable-Coefficients Complex Cubic-Quintic Ginzburg-Landau Equation

The complex cubic-quintic Ginzburg-Landau equation (CQGLE) is a universal model for describing a dissipative system, especially fiber laser. The analytic one-soliton solution of the variable-coefficients CQGLE is calculated by a modified Hirota method. Then, phenomena of soliton pulses splitting and stable bound states of two solitons are investigated. Moreover, rectangular dissipative soliton pulses of the variable-coefficients CQGLE are realized and controlled effectively in the theoretical research for the first time, which breaks through energy limitation of soliton pulses and is expected to provide theoretical basis for preparation of high-energy soliton pulses in fiber lasers.

Automated summary

The study focused on the complex cubic-quintic Ginzburg-Landau equation and calculated the analytic one-soliton solution of the variable-coefficients CQGLE. It was found that rectangular dissipative soliton pulses of the variable-coefficients CQGLE can be effectively realized and controlled, breaking through the energy limitation of soliton pulses and potentially providing a theoretical basis for the preparation of high-energy soliton pulses in fiber lasers.