Soliton amplification in gain medium governed by Ginzburg–Landau equation

Abstract

With the modified Hirota method, analytic soliton solutions for the generalized cubic complex Ginzburg-Landau equation with variable coefficients are derived for the first time. Based on the analytic solutions, soliton amplification is realized by choosing corresponding parameters properly. Besides, physical effects affecting the soliton amplification are discussed. Furthermore, stability analysis is presented. Results in this paper may be of value in further understanding the soliton amplification in fiber laser, and helpful for the generation of supercontinuum.

Transmission stability of chirped dark vector quasi-solitons in birefringent fiber system with nonlinear gain

“…During this transmission, the solitons in two polarization directions will periodically capture each other to achieve the synchronization in the time domain, which is the phenomenon of soliton self-trapping [6][7][8]. Nevertheless, the NSE, combined with nonlinear gain and dispersion gain terms, is modified to the Ginzburg-Landau (G-L) equation when solitons are transmitted in the gain medium [9][10][11]. It plays an important role in the study of the state transformation and unstable wave theory.…”

Novel asymmetric representation method for solving the higher-order Ginzburg-Landau equation

“…In contrast with the integrable equations mentioned above, the complex GL equation, which is non-integrable, can not be solved by the bilinear method. Owing to the modified bilinear method, one-soliton solutions for the standard form of the complex GL equation can be obtained 19 20 . However, for Eq.…”