Analytic solutions of self-similar pulse based on Ginzburg-Landau equation with constant coefficients

作者：Feng Jie; Xu WenCheng^*; Li ShuXian; Liu SongHao

来源：Science in China - Series G: Physics Mechanics and Astronomy , 2008, 51(3): 299-306.

DOI：10.1007/s11433-008-0019-4

• gain dispersion
• parabolic asymptotic self-similarity
• linear chirp
• normal group velocity dispersion (GVD)
• fiber amplifiers

Based on the constant coefficients of Ginzburg-Landau equation that considers the influence of the doped fiber retarded time on the evolution of self-similar pulse, the parabolic asymptotic self-similar solutions were obtained by the symmetry reduction algorithm. The parabolic asymptotic amplitude function, phase function, strict linear chirp function and the effective temporal pulse width of self-similar pulse are given in this paper. And these theoretical results are consistent with the numerical simulations.

• 出版日期2008-3
• 单位华南师范大学