论文标题
矢量非线性schrödinger方程的有效动力学
Effective Dynamics of the Vector Nonlinear Schrödinger Equations on Large Domains
论文作者
论文摘要
我们考虑在盒子上放置的矢量非线性schrödinger方程，并带有周期性边界条件，并得出了连续的谐振（CR）方程，该方程描述了大盒子大小的有效动力学和在非常大的时间尺度上的小数据大小的有效动力学。此外，我们研究了连续谐振方程的各种特性，包括哈密顿的结构和适当的结构等。
We consider the vector nonlinear Schrödinger equation posed on the box with periodic boundary conditions, and derive the continuous resonant (CR) equation that describes the effective dynamics for large box size and small data size over very large time-scales. Moreover, we investigate various properties of the continuous resonant equations, including the Hamiltonian structure and the well-posedness, etc..
