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基于包含自发拉曼散射和外电光调制效应的非自治非线性薛定谔方程,采用简单的变换方法,解析研究了三种非均匀系统中非自治孤子的管理和传输。结果发现,在非均匀的非线性渐增或色散渐减光纤系统中都存在精确的啁啾非自治孤子解,都可以实现孤子的放大和压缩,但具有不同的速度、频移和啁啾特性;而在非均匀的色散和非线性均渐减光纤系统中,可以支持无啁啾的非自治孤子,该孤子具有不变的脉宽和振幅以及振荡衰减的速度,孤子的频移仅由自发拉曼散射决定。同时,数值模拟结果进一步证实在三种非均匀管理系统中都可支持非自治孤子的传输。该研究结果为实际非均匀孤子管理系统中实现孤子的压缩和传输提供了理论依据。
Based on the non-autonomous nonlinear Schrödinger equation containing spontaneous Raman scattering and external electro-optic modulation effects, the simple transformation method is used to study the management and transmission of non-autonomous solitons in three nonhomogeneous systems. The results show that the non-uniform non-linear increasing or dispersion decreasing optical fiber systems have accurate chirp non-autonomous soliton solutions, which can both enlarge and compress the solitons but have different velocity, frequency shift and chirp characteristics In non-uniform dispersion and non-linear decreasing fiber systems, non-chirp non-autonomous solitons can be supported. The solitons have constant pulse width and amplitude and the speed of oscillation decay. The frequency shift of solitons is only caused by spontaneous Raman scattering decision. At the same time, the numerical simulation results further confirm that the non-autonomous soliton transmission can be supported in all three non-uniform management systems. The results provide a theoretical basis for the compression and transmission of solitons in a real heterogeneous soliton management system.