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.
出处
《数学的实践与认识》
CSCD
北大核心
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)
关键词
脉冲形式的解
干扰
特征线
pulses like solutions
characteristics
interaction
