Instability analysis of internal solitary waves in a nearly uniformly stratified fluid

DOI10.1063/1.869447zbMath1185.76612OpenAlexW2080035000MaRDI QIDQ5755789

Dmitry E. Pelinovsky, R. H. J. Grimshaw

Publication date: 15 August 2007

Published in: Physics of Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.869447

Mathematics Subject Classification ID

Nonlinear effects in hydrodynamic stability (76E30) Reaction effects in flows (76V05) Stability and instability of geophysical and astrophysical flows (76E20)

Related Items (2)

Weakly dispersive hydraulic flows in a contraction: Parametric solutions and linear stability ⋮ Linear stability analysis for the multikink solution of the sine-Hilbert equation

Cites Work

• An asymptotic approach to solitary wave instability and critical collapse in long-wave KdV-type evolution equations
• Exact solutions for steady two-dimensional flow of a stratified fluid
• The Evolution of Finite Amplitude Solitary Rossby Waves on a Weak Shear
• Stability and instability of solitary waves of Korteweg-de Vries type
• A second-order theory for solitary waves in deep fluids
• Resonant generation of finite-amplitude waves by the flow of a uniformly stratified fluid over topography
• Solitary waves of permanent form in a deep fluid with weak shear
• Eigenvalues, and instabilities of solitary waves
• A second-order theory for solitary waves in shallow fluids
• Numerical simulations of uniformly stratified fluid flow over topography

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