标题： 内部重力波的多孤立子衰减行为 显示英文标题

标题： On multisolitonic decay behavior of internal gravity waves

摘要： 我们声称，尺度变化和精细结构可能来自内波动力学的多孤子行为，并且进一步在所谓的“波混频”中增加。 我们考虑欧拉方程的初始边界问题，其中分层背景状态适用于内波。 我们寻找当前函数的波导模式表示中的问题解。 正交本征函数描述了内波模态的垂直形状，并满足关于垂直变量的斯特姆-利乌维尔问题。 对于具有现实几何形状和量级的初始条件求解柯西问题。 我们选择麦坎实验的几何形状和尺寸，其分层为恒定浮力频率。 水平轮廓由耦合的科尔特韦格-德弗里斯方程组的数值解定义。 数值方案被证明是收敛的、稳定的，并通过该系统可积情况的显式解进行了测试。 与斯特姆-利乌维尔问题的解一起，它给出了完整的内波轮廓。 显示英文摘要

摘要： We claim that changes of scales and fine-structure could increase from multisoliton behavior of internal waves dynamics and, further, in the so-called "wave mixing". We consider initial-boundary problems for Euler equations with a stratified background state that is valid for internal water waves. The solution of the problem we search in the waveguide mode representation for a current function. The orthogonal eigenfunctions describe a vertical shape of the internal wave modes and satisfy a Sturm-Liouville problem for the vertical variable. The Cauchy problem is solved for initial conditions with realistic geometry and magnitude. We choose the geometry and dimensions of the McEwan experiment with the stratification of constant buoyancy frequency. The horizontal profile is defined by numerical solutions of a coupled Korteweg-de Vries system. The numerical scheme is proved to be convergent, stable and tested by means of explicit solutions for integrable case of the system. Together with the solution of the Sturm-Liouville problem it gives the complete internal waves profile.