Spatial bifurcations of interfacial waves when the phase and group velocities are nearly equal

DOI10.1017/S0022112095001911zbMath0879.76029OpenAlexW2067584501MaRDI QIDQ4879237

Paul Christodoulides, Frédéric Dias, Thomas J. Bridges

Publication date: 17 December 1997

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0022112095001911

zbMATH Keywords

travelling wavesvariational principleKelvin-Helmholtz instabilityTaylor expansiontrigonometric seriesbifurcation equationtwo layer fluidweakly nonlinear analysisstratified fluidsFourier collocation methodskew-symmetric operatorsecondary bifurcationsspatial Hamiltonian structure

Mathematics Subject Classification ID

Internal waves for incompressible inviscid fluids (76B55) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Parallel shear flows in hydrodynamic stability (76E05) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (3)

Deep-water internal solitary waves near critical density ratio ⋮ Three-dimensional periodic interfacial gravity waves: analytical and numerical results ⋮ Steady dark solitary waves emerging from wave-generated meanflow: The role of modulation equations

Cites Work

• Perturbed homoclinic solutions in reversible 1:1 resonance vector fields
• Nonlinear interfacial progressive waves near a boundary in a Boussinesq fluid
• Relationships between integral properties of gravity-capillary interfacial waves
• Envelope solitons with stationary crests
• Geometric Aspects of Spatially Periodic Interfacial Waves

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