Motion of dispersive shock edges in nonlinear pulse evolution

被引：0
|
作者：
A. M. Kamchatnov
机构：
[1] RAS,Institute of Spectroscopy
来源：
Theoretical and Mathematical Physics | 2020年 / 202卷
关键词：
nonlinear wave; soliton; dispersive shock wave; Whitham theory;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We formulate a method for calculating the velocities of the edges of dispersive shock waves that are generated after wave breaking of pulses during their propagation in a nonlinear medium. The method is based on the properties of the Whitham modulation system at its degenerate limits obtained for either a vanishing amplitude of oscillations at one edge or a vanishing wave number at the other edge.
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页码：363 / 370
页数：7
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