多维非线性脉冲波的单波“干扰”  

Interaction of Short Pulses in a Multi-dimension Nonlinear Hyperbolic System with a Single Initial Wave

作　　者：袁明生[1] 王瑞瑞[2] 邹杰涛[2] 

机构地区：[1]上海对外贸易学院商务信息学院,上海201620 [2]北方工业大学理学院,北京100041

出　　处：《数学的实践与认识》2009年第5期185-191,共7页Mathematics in Practice and Theory

基　　金：北京市教委科技基金资助项目(KM200710009012)

摘　　要：利用非线性几何光学讨论3×3的高维半线性双曲偏微分方程在仅有一个初始脉冲波的条件下,系统会产生多个脉冲波的现象,从而从数学的角度论证了单个脉冲波的传播与"干扰"特性.With the aid of nonlinear geometric optics, this paper discusses the behavior of the pulses like solutions to a 3×3 semilinear hyperbolic system with a single initial wave. It shows that there are three pulses after the time t = 0, and therefore this illustrates the property of propagation and interaction for a single pulses in mathematics.

关 键 词：脉冲形式的解 干扰 特征线 

分 类 号：O411.1[理学—理论物理]