Impact of the Wavefront on a Nonlinear Wave in a Dissipative Medium

被引：0
|
作者：
Bazylenko, V. A. [1 ]
Rudenko, O. V. [1 ,2 ,3 ]
机构：
[1] Moscow State Pedag Univ, Moscow 119991, Russia
[2] Russian Acad Sci, Prokhorov Gen Phys Inst, Moscow 119333, Russia
[3] Russian Acad Sci, Inst Phys Earth, Moscow 123995, Russia
来源：
DOKLADY PHYSICS | 2023年 / 68卷 / 05期
基金：
俄罗斯基础研究基金会;
关键词：
flow; wavefront; wave profile; impulse signal; stationary wave; interaction;
D O I：
10.1134/S1028335823050038
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
A method for generating solutions of the Burgers equation, which describe the interaction of waves in a nonlinear dissipative medium with a linearly growing wavefront, is proposed. The exact solutions describing these interactions and symmetry properties of the equation are used. It is shown that the rising wavefront is able to compete with the dissipation and compress the signal in time. On the contrary, the wavefront with the decreasing steepness "stretches" the signal.
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页码：141 / 143
页数：3
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