Propagation of weakly nonlinear magnetoacoustic waves
type: Item
instance of: scholarly article
title: Propagation of weakly nonlinear magnetoacoustic waves
zbMATH Open document ID: 0615.76112
DOI: 10.1016/0165-2125(87)90033-3
published in: Wave Motion
publication date: 1987-01-01T00:00:00Z
review text: Using the reductive perturbation method we show that the modified Burgers equation governs the propagation of a weakly nonlinear slow magnetoacoustic wave near the equilibrium state with zero transverse magnetic field.
Mathematics Subject Classification ID: 76W05
Mathematics Subject Classification ID: 76L05
Mathematics Subject Classification ID: 35Q99
zbMATH DE Number: 3997455
zbMATH Keywords: coplanar MHD Riemann problem
zbMATH Keywords: intermediate shock waves
zbMATH Keywords: reductive perturbation method
zbMATH Keywords: modified Burgers equation
zbMATH Keywords: weakly nonlinear slow magnetoacoustic wave
zbMATH Keywords: equilibrium state
zbMATH Keywords: zero transverse magnetic field
author: Moysey Brio
MaRDI profile type: Publication
full work available at URL: 0165-2125(87)90033-3
OpenAlex ID: W2079264403
cites work: An upwind differencing scheme for the equations of ideal magnetohydrodynamics
cites work: Non-linear wave propagation with applications to physics and magnetohydrodynamics
cites work: Admissible solutions of hyperbolic conservation laws
cites work: Q3255068
cites work: Q4727586
cites work: A review of the multiple scale and reductive perturbation methods for deriving uncoupled nonlinear evolution equations
cites work: Uniqueness and stability of the generalized solution of the Cauchy problem for a quasi-linear equation
Recommended article: Nonlinear magnetoacoustic waves in a weakly inhomogeneous plasma
Recommended article: Q3489745
Recommended article: Q3768628
Recommended article: Weakly nonlinear magnetohydrodynamic wave motion
Recommended article: Weakly nonlinear magnetosonic waves and structure of low-intensity discontinuities in magnetohydrodynamics
Recommended article: On the propagation of acceleration waves in vibrational and radiative nonequilibrium magnetogasdynamic flows
Recommended article: Weakly nonlinear surface waves in magnetohydrodynamics. I
Recommended article: Some remarks about the magnetoacoustic waves
Recommended article: Q5573336
Recommended article: Propagation of blast waves in a non-ideal magnetogasdynamics
description: scientific article; zbMATH DE number 3997455