Intergrable models of extremely short pulse propagation: After 2000

A. Maimistov
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Abstract

Propagation of the few-cycle pulses in nonlinear medium are considered. The Reduced Maxwell-Bloch equations with taking into account permanent dipole momentum and wave polarization, and the Schafer-Wayne equation represent new examples of the intergable equations. Some classical integrable equations can be adapted for description of an extremely short pulse evolution too.
极短脉冲传播的可积模型:2000年以后
研究了非线性介质中短周期脉冲的传播问题。考虑永久偶极动量和波极化的简化麦克斯韦-布洛赫方程和谢弗-韦恩方程是可积方程的新例子。一些经典的可积方程也可以用来描述极短脉冲的演化。
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