DOI10.1017/CBO9780511569548zbMath0581.76002OpenAlexW1580921118MaRDI QIDQ3703440
Alex D. D. Craik
Publication date: 1985
Full work available at URL: https://doi.org/10.1017/cbo9780511569548
Nonlinear steady states to Langmuir circulation in shallow layers: an asymptotic study,
The nonlinear Benjamin–Feir instability – Hamiltonian dynamics, discrete breathers and steady solutions,
Subcritical Rossby Waves in Zonal Shear Flows with Nonlinear Critical Layers,
Resonant Wave Interaction with Random Forcing and Dissipation,
Two water waves in subsurface interaction on a shear flow,
The NLS approximation makes wrong predictions for the water wave problem in case of small surface tension and spatially periodic boundary conditions,
A quasi-one-dimensional asymptotic theory for non-linear water waves,
A new exact solution of a damped quadratic non-linear oscillator,
Selection of the divergence waves on a model viscoelastic coating under a potential flow,
On the exchange of energy in coupled Klein --- Gordon equations,
Localized solutions to the nonlinear wave equation for flexural motions of an elastic beam traveling in an air-filled tube,
On the instability of a full non‐parallel flow—Kovasznay flow,
Stability and waves on a two-dimensional inviscid shear flow,
Stokes drift,
Three-dimensional forced-damped dynamical systems with rich dynamics: bifurcations, chaos and unbounded solutions,
Multiscale asymptotics for the skeleton of the Madden-Julian oscillation and tropical-extratropical interactions,
Resonant-triad instability of a pre-stressed incompressible elastic plate,
Effect of PT symmetry on nonlinear waves for three-wave interaction models in the quadratic nonlinear media,
Validity of the resonant four-wave interaction system in a model for surface water waves on an infinite deep sea,
Semigroup estimates and stability/instability results for the linearized three waves interaction equations,
Resonant three-wave interactions in nonlinear hyper-elastic fluid-filled tubes,
Asymptotic analysis of the attractors in two-dimensional Kolmogorov flow,
Resonant interfacial capillary-gravity waves in the presence of damping effects,
Triad resonant wave interactions in electrically charged jets,
Instability of pressure-driven gas–liquid two-layer channel flows in two and three dimensions,
The 3-wave resonant interaction model: spectra and instabilities of plane waves,
A coupled “AB” system: Rogue waves and modulation instabilities,
Resonant instability and nonlinear wave interactions in electrically forced jets,
The Lagrangian formulation for wave motion with a shear current and surface tension,
Modulational instability in the Whitham equation with surface tension and vorticity,
A nonlinear model of the dynamics of a large elastic plate with heavy fluid loading,
New model for acoustic waves propagating through a vortical flow,
General higher—order breathers and rogue waves in the two‐component long‐wave–short‐wave resonance interaction model,
An envelope system with third order dispersion: `unconventional' modulation instability and Floquet analysis,
Stabilization of a linearly unstable wave participating in a three-wave resonant interaction,
Nonlinear oscillations in three-armed tubes.,
On the modelling of short and intermediate water waves,
Nonlinear wave interactions on the surface of a conducting fluid under vertical electric fields,
Breathers and `black' rogue waves of coupled nonlinear Schrödinger equations with dispersion and nonlinearity of opposite signs,
Three-wave resonant interactions: multi-dark-dark-dark solitons, breathers, rogue waves, and their interactions and dynamics,
Localized modes of the Hirota equation: \(N\)th order rogue wave and a separation of variable technique,
On elementary four-wave interactions in dispersive media,
Near-inertial wave dispersion by geostrophic flows,
Periodic and localized wave patterns for coupled Ablowitz-Ladik systems with negative cross phase modulation,
Three-dimensional coupled NLS equations for envelope gravity solitary waves in baroclinic atmosphere and modulational instability,
Weakly nonlinear transient waves on a shear current: ring waves and skewed Langmuir rolls,
An inviscid analysis of the Prandtl azimuthal mass transport during swirl-type sloshing,
Steep capillary-gravity waves in oscillatory shear-driven flows,
WKB analysis for the three coupled long wave–short wave interaction equations,
Vortex dynamics of oscillating flows,
Particle dispersion in two-dimensional peristaltic flow,
THREE-WAVE SOLITON EXCITATIONS IN A DISK-SHAPED BOSE–EINSTEIN CONDENSATE,
A one-dimensional model for dispersive wave turbulence,
A connection between the maximum displacements of rogue waves and the dynamics of poles in the complex plane,
Stochastic modelling in fluid dynamics: Itô versus Stratonovich,
A study of singular modes associated with over-reflection and related phenomena,
Non-periodic phase-space trajectories of roughness-driven secondary flows in high- boundary layers and channels,
Thomas Young on fluid mechanics,
Evolution of solitary marginal disturbances in baroclinic frontal geostrophic dynamics with dissipation and time-varying background flow,
Stochastic variational formulations of fluid wave-current interaction,
Multiwave nonlinear couplings in elastic structures,
Two-dimensionality of gravity water flows of constant nonzero vorticity beneath a surface wave train,
Modulational instability of dark solitons in three wave resonant interaction,
Stochastic closures for wave-current interaction dynamics,
Sideband instability and modulations of Faraday waves.,
Three-dimensional tidal sand waves,
Resonant fast–slow interactions and breakdown of quasi-geostrophy in rotating shallow water,
On resonant triad interactions of acoustic–gravity waves,
Linear waves at the free surface of a saturated porous media,
Dissipative effects in a nonlinear wave system with an unstable linear spectrum,
The evolution of superharmonics excited by internal tides in non-uniform stratification,
Pattern formation in forced reaction diffusion systems with nearly degenerate bifurcations,
Long ring waves in a stratified fluid over a shear flow,
Stability of flexural-gravity waves and quadratic interactions,
On Langmuir circulation in 1 : 2 and 1 : 3 resonance,
Breathers, cascading instabilities and Fermi-Pasta-Ulam-Tsingou recurrence of the derivative nonlinear Schrödinger equation: effects of `self-steepening' nonlinearity,
Stability of bichromatic gravity waves on deep water,
Stability of flexural-gravity waves and cubic interactions,
EXPLOSIVE INSTABILITY DUE TO 3-WAVE OR 4-WAVE MIXING, WITH OR WITHOUT DISSIPATION,
Complex dynamics in the 1:3 spatial resonance,
A three-dimensional autonomous system with unbounded `bending' solutions,
On the dynamics in a transitional boundary layer.,
Exploiting self-organized criticality in strongly stratified turbulence,
On stochastic stabilization of the Kelvin-Helmholtz instability by three-wave resonant interaction,
Rogue waves of wave resonant-interaction equations with the higher-order effects,
On the etiology of shear layer vortices,
Unnamed Item,
Flow-induced surface instabilities in a flexible-walled channel with a heavy wall,
On the highest non-breaking wave in a group: fully nonlinear water wave breathers versus weakly nonlinear theory,
An extended equatorial plane: linear spectrum and resonant triads