单向脉冲传播近似的极限
Limits of the uni-directional pulse propagation approximation
摘要：
我适用于双向和单向脉冲在含有任意阶非线性色散介质中的传播的特征线方法。不同的分析预测的冲击距离量化的影响，在许多脉冲传播模型中使用的单向近似。数值模拟的结果支持了理论预测，并揭示了前向波和后向波之间的耦合的本质。
英文摘要：
I apply the method of characteristics to both bi-directional and uni-directional pulse propagation in dispersionless media containing nonlinearity of arbitrary order. The differing analytic predictions for the shocking distance quantify the effects of the uni-directional approximation used in many pulse propagation models. Results from numerical simulations support the theoretical predictions, and reveal the nature of the coupling between forward and backward waves.
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