一种激发怪波串的本质方法研究

A Study on the Essence Way of Stimulate Rogue Waves

为了寻找产生怪波的原因和本质方法,文章采用快速分步傅里叶算法,找到了激发怪波串的一种方法。研究发现:如果选择平面波背景上增加微小的怪波扰动作为初始波在非线性薛定谔方程中传输演化后能激发大量的怪波串。并且平面波背景和微扰项是初始波形成怪波串的必要条件。文章分别对一阶怪波、二阶怪波和三阶怪波微扰后作为初始波进行了传输研究,并研究了微扰项对怪波强度的影响和微扰项的取值范围。

In order to find out the essential cause and a natural way generating rogue waves,by using the fast step Fourier transform method,we find one to excite rogue waves.A large number of rogue wave strings appear after the initial wave propagates in the optical fiber by adding a small disturbance on the plane wave background.It is found that the plane wave background,a tiny perturbation term,and rogue solutions are the necessary conditions for the initial wave to form a series of rogue waves.If the value of perturbation term is too large,there can be no rogue wave string.In this paper,first order,second order and third order rogue waves are studied as perturbations respectively as well as the influence of the perturbation term on the intensity of rogue waves and the value range of the perturbation term.