非均匀非线性Schr(o)dinger方程的奇异波和孤子解

摘要

研究光纤通信中孤子的传播方程.采用通用理论(相似变换)构建(1+1)维非均匀非线性Schr(o)dinger方程的奇异波解和孤子解,讨论一阶奇异波在不同光纤中传播的动力学特性.给出两孤子解的表达形式,基于该解和不同的参数条件,利用演化图描述两孤子的相互作用,所得结果对研究奇异波在光纤中的传播具有理论意义.%Focused on the transmission equation in the optical fiber communication.The similarity transformation is used to construct the rogue wave solution and solitons of the inhomogeneous (1 + 1)-dimensional nonlinear Schrtidinger equation.Dynamic behaviors of the first-order rogue wave are studied on the basis of the different optical mediums.Then two solitons are given and discussed based on the different parameters.The interaction of two solitons is described via evolution diagram,which is significant to discuss the transmission of the rogue wave in the optical fibers.