Two-dimensional instabilities of generalized Korteweg-de Vries waves

DOI10.1016/0165-2125(87)90019-9zbMath0648.35076OpenAlexW2002911074MaRDI QIDQ1105126

S. H. Smith

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0165-2125(87)90019-9

zbMATH Keywords

stabilitysolitonsshocksperiodic wavesinstabilitiesInstabilitieslinear dispersion relationlongitudinal disturbancesgeneralized Korteweg-de VriesInfeld-Rowlands method

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Perturbations in context of PDEs (35B20) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (3)

Two-dimensional instabilities of generalized Korteweg-de Vries waves ⋮ Instabilities of generalized Boussinesq-type waves ⋮ Stability of envelope waves

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the stability of nonlinear waves in integrable models
• Two-dimensional instabilities of generalized Korteweg-de Vries waves
• The stability of solitary waves
• The Superharmonic Instability of Finite-Amplitude Surface Waves on Water of Finite Depth
• Multiphase averaging and the inverse spectral solution of the Korteweg—de Vries equation
• On three-dimensional generalizations of the Boussinesq and Korteweg-de Vries equations
• Two-dimensional evolution of packets of short water waves in systems of finite depth
• Nonlinear solutions of drift cyclotron modes in mirror devices
• The instabilities of gravity waves of finite amplitude in deep water I. Superharmonics
• A numerical and theoretical study of certain nonlinear wave phenomena
• Model equations for long waves in nonlinear dispersive systems

This page was built for publication: Two-dimensional instabilities of generalized Korteweg-de Vries waves