标题： 调制脉冲在非线性薛定谔方程与周期势中的相互作用 显示英文标题

标题： Interaction of modulated pulses in the nonlinear Schroedinger equation with periodic potential

摘要： 我们考虑一个具有周期势的三次非线性薛定谔方程。在半经典尺度下，研究集中在单一或多个布洛赫带上的调制脉冲的非线性相互作用。引入了闭模系统这一概念，它允许严格推导出描述这些脉冲宏观动力学的有限幅值方程组。 显示英文摘要

摘要： We consider a cubic nonlinear Schroedinger equation with periodic potential. In a semiclassical scaling the nonlinear interaction of modulated pulses concentrated in one or several Bloch bands is studied. The notion of closed mode systems is introduced which allows for the rigorous derivation of a finite system of amplitude equations describing the macroscopic dynamics of these pulses.