Interaction of Finite Perturbations with the Front and Singularity of the Profile of a Nonlinear Wave in a Dissipative Medium

Interaction of Finite Perturbations with the Front and Singularity of the Profile of a Nonlinear Wave in a Dissipative Medium

The interaction of a short pulse with three types of wave profiles in a nonlinear dissipative medium are described: a stationary shock front of finite width, a nonstationary forming front, and a “stationary” wave the profile of which contains a singularity. Exact solutions to the Burgers equation ar...

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Bibliographic Details
Published in:Acoustical physics Vol. 69; no. 3; pp. 318 - 324
Main Authors: Gusev, V. A., Rudenko, O. V.
Format: Journal Article
Language:English
Published: Moscow Pleiades Publishing 01-06-2023
Springer
Springer Nature B.V
Subjects:
Acoustics
Burgers equation
Dissipation
Exact solutions
Nonlinear Acoustics
Perturbation
Physics
Physics and Astronomy
Short pulses
Singularities
shock front
interaction
singularity
wave profile
stationary wave
pulse disturbance
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Summary:The interaction of a short pulse with three types of wave profiles in a nonlinear dissipative medium are described: a stationary shock front of finite width, a nonstationary forming front, and a “stationary” wave the profile of which contains a singularity. Exact solutions to the Burgers equation are used, which describe these interactions, as well as the symmetry properties of this equation.
ISSN:1063-7710
1562-6865
DOI:10.1134/S1063771023600043