Abstract
在当今的信息社会中，信息量以指数级增长，传统的通信技术已经不能满足社会需要，所以新一代的高速率、大传输容量的高速光纤通信便成为了最理想方案。而在光纤通信领域中对超短脉冲传输的研究更有其实际的意义。经理论分析，光纤色散的高阶效应对超短脉冲传输的影响不可忽略，需用含三次或五次高阶非线性项的薛定谔方程来描述其传输规律。本文将应用(G'/G2)展开法求解含三阶色散项的非线性薛定谔方程的解析解，通过求解方程得到了方程的在取不同参数条件时的许多新解。相信本文对理解方程的物理意义及参数条件对孤子解的影响，对未来光纤孤子通信的研究具有参考价值。 In today’s information society, information is growing exponentially; the traditional communication technology has been unable to meet the needs of society, so the high speed optical fiber communication speed, a new generation of large transmission capacity has become the most ideal solution. But it has more practical significance on ultrashort pulse transmission research in the field of optical communication. By theoretical analysis, high order dispersion effect on the propagation of ultrashort pulse cannot be ignored, with three or five times with high order nonlinear term Schrodinger equations to describe the transmission rule. This paper applies the analytical method for solving nonlinear Schrodinger equations of the three order dispersion term expansion, by solving many new equations are obtained for different parameters in the condition of equation. To understand equations and parameters influence on soliton solutions and the future study on optical soliton, this physical meaning has reference value.
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