论文标题
复杂KDV方程中的流氓波多重
Rogue Wave Multiplets in the Complex KdV Equation
论文作者
论文摘要
我们为复杂的Korteweg-de Vries（KDV）方程提供了多参数的理性解决方案家族。该解决方案家族包括在中心具有高振幅峰的特定情况，以及在许多情况下，高阶流氓波部分分为低阶基本组件。我们提出了一种经验创始的对称性，该对称性引入了一个参数，该参数控制了流氓波分量将其分裂为多峰溶液，并允许在某些情况下以更高阶段的方式进行非介绍溶液。
We present a multi-parameter family of rational solutions to the complex Korteweg-de Vries(KdV) equations. This family of solutions includes particular cases with high-amplitude peaks at the centre, as well as a multitude of cases in which high-order rogue waves are partially split into lower-order fundamental components. We present an empirically-found symmetry which introduces a parameter controlling the splitting of the rogue wave components into multi-peak solutions, and allows for nonsingular solutions at higher order in certain cases.
