The modulational instability of the nonlinear Klein-Gordon equation
type: Item
instance of: scholarly article
title: The modulational instability of the nonlinear Klein-Gordon equation
zbMATH Open document ID: 0748.35042
DOI: 10.1016/0165-2125(91)90063-T
published in: Wave Motion
publication date: 1992-09-27T00:00:00Z
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 76B15
zbMATH DE Number: 62345
zbMATH Keywords: quasi-dispersion relation for perturbations
zbMATH Keywords: criterion for linear instability
zbMATH Keywords: linear stability
zbMATH Keywords: weakly nonlinear carrier wave
zbMATH Keywords: derivative expansion method
zbMATH Keywords: linear stability of nonlinear spatially uniform carrier wave solutions
zbMATH Keywords: small perturbations to the carrier
zbMATH Keywords: Floquet analysis
author: E. J. Parkes
MaRDI profile type: Publication
cites work: Q4151274
cites work: Q3927542
cites work: Q3896709
cites work: Perturbation methods and non-linear hyperbolic waves
cites work: Nonlinear wave packets in the Kelvin-Helmholtz instability
cites work: Q5332437
cites work: Q4001253
cites work: Q3207313
cites work: Q5621145
cites work: The two-dimensional stability of periodic and solitary wave trains on a water surface over arbitrary depth
cites work: Stability of envelope waves
cites work: A perturbation method for nonlinear dispersive wave problems
cites work: Nonlinear dispersive instabilities in magnetic fluids
cites work: Amplitude equations at the critical points of unstable dispersive physical systems
cites work: ON THE STABILITY OF CNOIDAL WAVES
cites work: A numerical and theoretical study of certain nonlinear wave phenomena
full work available at URL: 0165-2125(91)90063-t
OpenAlex ID: W2049997120
description: scientific article; zbMATH DE number 62345