| 多维非线性脉冲波的单波“干扰” |
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| 引用本文： | 袁明生,王瑞瑞,邹杰涛.多维非线性脉冲波的单波“干扰”[J].数学的实践与认识,2009,39(5). |
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| 作者姓名： | 袁明生 王瑞瑞 邹杰涛 |
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| 作者单位： | 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 |
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| 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.
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| 关 键 词： | 脉冲形式的解 干扰 特征线 |
Interaction of Short Pulses in a Multi-dimension Nonlinear Hyperbolic System with a Single Initial Wave |
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| YUAN Ming-sheng,WANG Rui-rui,ZOU Jie-tao.Interaction of Short Pulses in a Multi-dimension Nonlinear Hyperbolic System with a Single Initial Wave[J].Mathematics in Practice and Theory,2009,39(5). |
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| Authors: | YUAN Ming-sheng WANG Rui-rui ZOU Jie-tao |
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| Abstract: | 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. |
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| Keywords: | pulses like solutions characteristics interaction |
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