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光孤子通信是解决光信息在光纤中长距离传输时衰减和色散问题的一种较为有效的方法.本文在现有带有群速度色散、非线性项、三阶非线性系数以及增益/损耗项的非线性薛定谔方程孤子解的基础上,给出了灵活性的孤子解.采用具有复振幅的行波解作为试探解,将试探解代入原方程,在实部和虚部分离的基础上,引入三个变量函数,最后表征出孤子解波函数的平方,并应用Matlab选择不同的变量函数进行数值模拟,得到图示结果.结果表明孤子解对于参变量变化是敏感的.选择适当的参量,得到合适的孤子,这一结论对光纤中孤子通信具有重要意义.
Optical soliton communication is a more effective method to solve the problem of attenuation and dispersion of optical information in long-distance transmission of optical fiber.Based on the existing methods of group velocity dispersion, nonlinear term, third-order nonlinear coefficient and gain / loss term, Based on the soliton solutions of the nonlinear Schrödinger equation, a flexible soliton solution is given. Using the traveling wave solution with complex amplitude as the test solution, the heuristic solution is substituted into the original equation. On the basis of the separation of real and imaginary parts, Three variable functions are introduced, and the square of soliton soliton function is finally characterized, and Matlab is used to select different variable functions for numerical simulation. The results show that the soliton solution is sensitive to the change of parameter. Choosing the appropriate parameters, Get the appropriate soliton, this conclusion is of great significance for optical soliton communication.