The modulational instability of the nonlinear Klein-Gordon equation

DOI10.1016/0165-2125(91)90063-TzbMath0748.35042OpenAlexW2049997120MaRDI QIDQ1193305

E. John Parkes

Publication date: 27 September 1992

Published in: Wave Motion (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0165-2125(91)90063-t

zbMATH Keywords

linear stabilityFloquet analysisderivative expansion methodcriterion for linear instabilitylinear stability of nonlinear spatially uniform carrier wave solutionsquasi-dispersion relation for perturbationssmall perturbations to the carrierweakly nonlinear carrier wave

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)

Related Items (8)

Nonlinear evolution of the Kelvin-Helmholtz instability of supersonic tangential velocity discontinuities ⋮ Coupled energy patterns in zigzag molecular chains ⋮ Spectral and modulational stability of periodic wavetrains for the nonlinear Klein-Gordon equation ⋮ Nonlinear electrohydrodynamic instability of two liquid layers ⋮ Novel dynamics in the nonlinear evolution of the Kelvin-Helmholtz instability of supersonic anisotropic tangential velocity discontinuities. ⋮ Weakly nonlinear EHD stability of slightly viscous jet ⋮ Nonlinear Rayleigh-Taylor instability in magnetic fluids with uniform horizontal and vertical magnetic fields ⋮ Pulses, fronts and oscillations of an elastic rod

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