量子光学学报, 2009, 15 (1): 70, 网络出版: 2010-09-07   

复变系数Ginzburg-Landau方程的啁啾组合孤波解

Chirped Combined Solitary wave Solutions of the ComplexGinzburg-Landau Equation with Variable Coefficients
作者单位
山西大学物理电子工程学院, 山西 太原 030006
摘要
基于描述非均匀光纤系统的复系数Ginzburg-Landau方程,通过拟解法得到了该方程的精确啁啾组合孤波解,并分析了该解的特性。通过大量的数值模拟,发现在有限的初始扰动下这些组合孤波解是在非均匀光纤系统中稳定的。最后,为了进一步研究组合孤波解的稳定性,我们还探讨了组合孤波的相互作用。
Abstract
In this paper, based on the generalized cubic complex Ginzburg-Landau (CGL) equation with varying coefficients describing the inhomogeneous optical fiber system, exact chirped combined solitary wave solutions were found by using a suitable ansatz and their features were analyzed. A lot of numerical simulations show that these combined solitary wave solutions under finite initial perturbations are stable in the inhomogeneous optical fiber system. Finally, in order to further investigate the stability of the combined solitary wave solutions, we discuss the interaction between two chirped combined solitary waves.

马宇波, 田晋平, 徐忠孝, 王晓宇, 肖燕. 复变系数Ginzburg-Landau方程的啁啾组合孤波解[J]. 量子光学学报, 2009, 15(1): 70. MA Yu-bo, TIAN Jin-ping, XU Zhong-xiao, WANG Xiao-yu, XIAO Yan. Chirped Combined Solitary wave Solutions of the ComplexGinzburg-Landau Equation with Variable Coefficients[J]. Acta Sinica Quantum Optica, 2009, 15(1): 70.

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