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本文采用一个通用的理论,即用相似变换的方法,研究构建了(1+1)维变系数非线性薛定谔方程的精确畸形波解,首先讨论了一阶光畸波在光纤放大器中的传播问题.发现光学畸波的特性,如宽度、振幅和位置,可通过非线性光学介质特性和光脉冲的初始参量进行控制;然后在选择可控参数条件下,讨论了可控光畸波在非线性介质的传播行为,包括延迟激发、抑制、以及保持.这在理论和实际应用上具有启迪价值.
In this paper, a general theory is used to study the exact deformed wave solutions of the nonlinear (1 + 1) nonlinear Schr (o) dinger equation with similar transformations. Firstly, the propagation of first order optical distortion in optical fiber amplifiers It is found that the characteristics of optical distortion such as width, amplitude and position can be controlled by the nonlinear optical medium characteristics and the initial parameters of light pulse. Then under the condition of choosing controllable parameters, the controllable optical distortion in nonlinear medium Of the dissemination, including delayed excitation, inhibition, and maintenance.This has the theoretical and practical implications of the value.