Soliton amplification in gain medium governed by Ginzburg-Landau equation

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.