复变系数Ginzburg-Landau方程的啁啾组合孤波解

Chirped Combined Solitary wave Solutions of the Complex Ginzburg-Landau Equation with Variable Coefficients

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。

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.