Criticality manifolds and their role in the generation of solitary waves for two-layer flow with a free surface

DOI10.1016/j.euromechflu.2008.05.003zbMath1153.76333OpenAlexW2087777280MaRDI QIDQ999755

Neil M. Donaldson, Thomas J. Bridges

Publication date: 10 February 2009

Published in: European Journal of Mechanics. B. Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.euromechflu.2008.05.003

zbMATH Keywords

solitary wavesfree surfacedifferential geometry of surfacesstratified flow

Mathematics Subject Classification ID

Solitary waves for incompressible inviscid fluids (76B25) Interfacial stability and instability in hydrodynamic stability (76E17)

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Cites Work

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• Oscillatory integrals and phenomena beyond all algebraic orders with applications to homoclinic orbits in reversible systems
• Degenerate relative equilibria, curvature of the momentum map, and homoclinic bifurcation
• Solitary waves in liquids having non-constant density
• Secondary criticality of water waves. Part 1. Definition, bifurcation and solitary waves
• Numerical study of generalized interfacial solitary waves
• Constitutive surfaces in fluid mechanics
• Reappraisal of the Kelvin–Helmholtz problem. Part 1. Hamiltonian structure
• Reappraisal of criticality for two-layer flows and its role in the generation of internal solitary waves
• CONSERVATION LAWS FOR ONE-DIMENSIONAL SHALLOW WATER MODELS FOR ONE AND TWO-LAYER FLOWS
• LONG NONLINEAR INTERNAL WAVES
• Hamiltonian long‐wave expansions for free surfaces and interfaces
• Interfacial waves with free-surface boundary conditions: An approach via a model equation