一类非线性Schrodinger方程组的初值问题

On the Cauehy Problem of Nonlinear Schrdinger systems——Interacting Langmuir Dispersive Ionaeoustic Ware in Plamas

本文讨论一维非线性Schrodinger方程耦合组Cauchy问题,对初值和非线性项加以适当的限制;在Sobolev空间框架下,使用不动点原理得到了整体经典解的存在唯一性定理。

In this paper we work on the Cauchy problem of nonlinear Schrodinger coupling systems. Some restriction on initial date and nonlinear term is given. In Sobolev space we have obtained an existance and uniqueness theorem about global solution by making use of the fixed-point principles.