非自治拉曼多色孤子的管理和传输

以变系数的非自治非线性薛定谔方程为模型,考虑了一种色散、非线性和自发拉曼散射效应管理下的非自治系统,通过简单变换显式给出了该系统的精确非自治拉曼多色孤子解。基于精确孤子解,解析研究了该拉曼多色孤子在非自治管理系统中的演化特性,发现孤子的中心位置、波数与色散和非线性以及拉曼效应有关,而孤子频移仅与拉曼效应的参数决定,拉曼效应主导了非自治孤子的自频移,引起了孤子的频移在传输过程中不断的发生变化,导致了孤子的多色性。另外,我们数值讨论了该非自治孤子的传输稳定性,结果表明:该非自治拉曼多色孤子在有限的扰动下具有较好的稳定性。

The Management and Transmission of Nonautonomous Raman Colored Soliton

In this paper, based on nonlinear Schrdinger equation with variable coeffcients, we consider a nonautonomous system under the management of the dispersion, the nonlinearity and the Self-induced Raman Scattering (SRS), and present the exact nonautonomous Raman colored soliton solution by simple transformation. Based on the exact solution, we study transmission of the Raman colored soliton in the nonautonomous management system and find that both the wave center and the wave number of the soliton are related to the dispersion, the nonlinearity and the SRS, but the soliton frequency shift is simply determined by the SRS, which implies that the SRS dominates the self-frequency shift of the nonautonomous solitons during propagation and leads to the colored soliton. In addition, we numerically discuss the stabilities of the nonautonomous Raman colored solitons. The results show that the nonautonomous Raman colored soliton is stable under the limited perturbations.