The Modulation of an Internal Gravity-Wave Packet, and the Resonance with the Mean Motion
From MaRDI portal
Publication:4135092
DOI10.1002/sapm1977563241zbMath0361.76029OpenAlexW146317161MaRDI QIDQ4135092
Publication date: 1977
Published in: Studies in Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/sapm1977563241
Related Items (68)
A Newton-type approach to approximate travelling wave solutions of a Schrödinger-Benjamin-Ono system ⋮ Solitary waves with damped oscillatory tails: An analysis of the fifth- order Korteweg-de Vries equation ⋮ Self-consistent sources for integrable equations via deformations of binary Darboux transformations ⋮ Analytical solutions for nonlinear long-short wave interaction systems with highly complex structure ⋮ Vertical momentum fluxes induced by weakly nonlinear internal waves on the shelf ⋮ Error analysis of an implicit spectral scheme applied to the Schrödinger-Benjamin-Ono system ⋮ Resonant collision of lumps with homoclinic orbits in the two-dimensional multi-component long-wave-short-wave resonance interaction systems ⋮ Existence of random attractor for stochastic fractional long-short wave equations with periodic boundary condition ⋮ Weakly compact uniform attractor for the nonautonomous long-short wave equations ⋮ Rational solutions to two- and one-dimensional multicomponent Yajima-Oikawa systems ⋮ The existence of a global attractor for the \((2+1)\)-dimensional long wave-short wave resonance interaction equation ⋮ Random exponential attractor for stochastic discrete long wave-short wave resonance equation with multiplicative white noise ⋮ Statistical solutions and Kolmogorov entropy for the lattice long-wave-short-wave resonance equations in weighted space ⋮ The nonlinear evolution of internal tides. Part 2. Lagrangian transport by periodic and modulated waves ⋮ Vertical fluxes induced by weakly nonlinear internal waves on a shelf ⋮ Spectral stability of nonlinear gravity waves in the atmosphere ⋮ On strongly nonlinear gravity waves in a vertically sheared atmosphere. I: Spectral stability of the refracted wave ⋮ Generalized modulation theory for strongly nonlinear gravity waves in a compressible atmosphere ⋮ Data-driven forward-inverse problems for Yajima-Oikawa system using deep learning with parameter regularization ⋮ A note on an alternative derivation of the Benney equations for short wave-long wave interactions ⋮ The Korteweg–De Vries Equation with Forcing Involving Products of Eigenfunctions ⋮ On a coupled system of a Ginzburg–Landau equation with a quasilinear conservation law ⋮ The resonant interaction among long and short waves ⋮ A matrix Yajima-Oikawa long-wave-short-wave resonance equation, Darboux transformations and rogue wave solutions ⋮ Random attractors for the stochastic discrete long wave-short wave resonance equations ⋮ On nonlinear evolution equations of a three-dimensional capillary-gravity wave packet at the interface of two superposed fluids ⋮ Modulation of an internal gravity wave packet in a stratified shear flow ⋮ Riemann theta function solutions to the coupled long wave-short wave resonance equations ⋮ Lagrangian transport by vertically confined internal gravity wavepackets ⋮ Long-time dynamics of internal wave streaming ⋮ WKB analysis for the three coupled long wave–short wave interaction equations ⋮ Vertical momentum transfer by weakly nonlinear inertia-gravity internal waves ⋮ The extended hyperbolic function method and exact solutions of the long-short wave resonance equations ⋮ Bifurcation and nonsmooth dynamics of solitary waves in the generalized long-short wave equations ⋮ Explicit and exact solutions for generalized long-short wave resonance equations with strong nonlinear term ⋮ Dissipative wave-mean interactions and the transport of vorticity or potential vorticity ⋮ Layer formation and relaminarisation in plane Couette flow with spanwise stratification ⋮ Long time behavior for the weakly damped driven long-wave--short-wave resonance equations ⋮ Orbital stability of solitary wave solutions for an interaction equation of short and long dispersive waves ⋮ Recurrence and chaotic behavior resulting from nonlinear interaction between long and short waves ⋮ Construction of exact periodic wave and solitary wave solutions for the long-short wave resonance equations by VIM ⋮ An exact theory of nonlinear waves on a Lagrangian-mean flow ⋮ On a homoclinic manifold of a coupled long-wave-short-wave system ⋮ Nonlinear effects occurring during the propagation of trapped topographic waves ⋮ Various breathers and rogue waves for the coupled long-wave-short-wave system ⋮ Soliton perturbations in a model equation for resonant interaction between long and short waves ⋮ The Complete Solution of the Long‐Wave–Short‐Wave Resonance Equations ⋮ Interaction equations for short and long dispersive waves ⋮ On the interaction of an internal wavepacket with its induced mean flow and the role of streaming ⋮ Some solutions pertaining to the resonant interaction of long and short waves ⋮ Orbital stability of solitary waves for the generalized long-short wave resonance equations with a cubic-quintic strong nonlinear term ⋮ The approximate manifolds for the generalized (2+1)-dimensional long-short wave equations ⋮ First Order Approximation of an Elliptic 3D Singular Perturbation Problem ⋮ First Order Approximation of an Elliptic 3D Singular Perturbation Problem ⋮ Uniform attractor and approximate inertial manifolds for nonautonomous long-short wave equations ⋮ Nonlinear interaction between long and short waves in a generalized elastic solid ⋮ Attractor for weakly damped driven long wave-short wave resonance equation ⋮ Dispersive blow-up and persistence properties for the Schrödinger–Korteweg–de Vries system ⋮ Resonant generation of internal waves by short length scale topography ⋮ On the two-power nonlinear Schrödinger equation with non-local terms in Sobolev-Lorentz spaces ⋮ On Long Time Behavior of Solutions of the Schrödinger--Korteweg--de Vries System ⋮ A study of resonant interactions between internal and surface waves based on a two-layer fluid model ⋮ ATTRACTOR FOR THE NON-AUTONOMOUS LONG WAVE-SHORT WAVE RESONANCE INTERACTION EQUATION WITH DAMPING ⋮ ORBITAL STABILITY OF PERIODIC TRAVELING WAVE SOLUTIONS TO THE GENERALIZED LONG-SHORT WAVE EQUATIONS ⋮ The effect of dissipative processes on mean flows induced by internal gravity-wave packets ⋮ A difference scheme for a system of Zakharov equations ⋮ Direct Resonance in Double-Diffusive Systems ⋮ Nonelliptic Schrödinger equations
Cites Work
- Unnamed Item
- Unnamed Item
- Mean motions and impulse of a guided internal gravity wave packet
- Progressive waves of permanent form in continuously stratified fluids
- On three-dimensional packets of surface waves
- The Propagation of Nonlinear Wave Envelopes
- On the rippling of small waves: a harmonic nonlinear nearly resonant interaction
- Buoyancy Effects in Fluids
This page was built for publication: The Modulation of an Internal Gravity-Wave Packet, and the Resonance with the Mean Motion