非简并多重无赖波及其简易激发方法
Non-degenerate multi-rogue waves and easy ways of their excitation
摘要：
在多组分系统中，可以使用简单的初始条件以具有小振幅单峰扰动的平面波的形式同时激发多个异常波。这与单个非线性薛定谔方程（或其他演化方程）的多个异常波的情况形成了鲜明的对比，后者需要使用高度特定的初始条件。这种可能性是由于多组分系统中的流氓波种类较多，每个系统都具有逆散射技术的单个特征值。在理论上，我们扩大有限类的Peregrine型解决方案，一个更大的家庭的非退化流氓波。我们的工作结果可以解释增加的机会出现的流氓波在穿越海状态（风产生的海洋重力波，形成沿水面的非平行波系统），以及提供新的可能性流氓波观测在广泛的多组分物理系统，如多组分玻色-爱因斯坦凝聚体，多组分等离子体和双折射光纤。
英文摘要：
In multi-component systems, several rogue waves can be simultaneously excited using simple initial conditions in the form of a plane wave with a small amplitude single-peak perturbation. This is in drastic contrast with the case of multi-rogue waves of a single nonlinear Schrödinger equation (or other evolution equations) that require highly specific initial conditions to be used. This possibility arises due to the higher variety of rogue waves in multi-components systems each with individual eigenvalue of the inverse scattering technique. In theory, we expand the limited class of Peregrine-type solutions to a much larger family of non-degenerate rogue waves. The results of our work may explain the increased chances of appearance of rogue waves in crossing sea states (wind generated ocean gravity waves that form nonparallel wave systems along the water surface) as well as provide new possibilities of rogue wave observation in a wide range of multi-component physical systems such as multi-component Bose-Einstein condensates, multi-component plasmas and in birefringent optical fibres.
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