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

作　　者：宋敏[1] 

机构地区：[1]新疆大学数学系

出　　处：《新疆大学学报（自然科学版）》1991年第3期25-31,共7页Journal of Xinjiang University(Natural Science Edition)

摘　　要：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.

关 键 词：非线性方程 偶合组 小初值 

分 类 号：O175.29[理学—数学]