(2+1)维非线性薛定谔方程的线畸形波及其传播特性

Line rogue wave solution of (2+1) dimensional nonlinear Schrdinger equation and its propagation characteristic

采用一个通用的理论,即用相似变换的方法,研究构建了(2+1)维非线性薛定谔方程的精确畸形波解,并进一步讨论了一阶、二阶光学畸形波的传输特性,我们提出的线畸形波概念在理论和应用方面都具有启迪价值.

We propose a unified theory, that is similarity transformation, to construct exact optical rogue wave solutions of （2 ＋ 1 ） dimensional nonlinear SchriSdinger equation. Moreover, we investigate propagation dynamics of the first - order and second - order optical rogue wave in the optical fiber amplifier. Finally, we introduce the concept of linear rouge wave which will give edification in theory and practical application.