Dynamics of counterpropagating waves in parametrically driven systems: dispersion vs. advection
From MaRDI portal
Publication:1851382
DOI10.1016/S0167-2789(02)00691-7zbMath1076.35543MaRDI QIDQ1851382
Carlos Martel, José M. Vega, Edgar Knoblauch
Publication date: 16 December 2002
Published in: Physica D (Search for Journal in Brave)
Nonlinear effects in hydrodynamic stability (76E30) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) NLS equations (nonlinear Schrödinger equations) (35Q55)
Related Items
On the exchange of energy in coupled Klein --- Gordon equations, Interaction of free Rossby waves with semi-transparent equatorial waveguide. I: Wave triads, On the construction of the exact analytic or parametric closed-form solutions of standing waves concerning the cubic nonlinear Schrödinger equation, Dispersive destabilization of nonlinear light propagation in fiber Bragg gratings, Interaction of two quasi-monochromatic waves in shallow water, Modulational instability of two pairs of counter-propagating waves and energy exchange in a two-component system, Dispersive destabilization of nonlinear light propagation in fiber Bragg gratings: A numerical verification
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Topography of attractors of the parametrically driven nonlinear Schrödinger equation
- Existence threshold for the ac-driven damped nonlinear Schrödinger solitons
- Dynamics of counterpropagating waves in parametrically forced systems
- The stability of standing waves with small group velocity
- Optical gap solitons: Past, present, and future; theory and experiments
- Finite amplitude two-dimensional convection in a finite rotating system
- Global stability properties of a hyperbolic system arising in pattern formation
- Dynamics of a hyperbolic system that applies at the onset of the oscillatory instability
- Finite size effects near the onset of the oscillatory instability
- Nearly inviscid Faraday waves in annular containers of moderately large aspect ratio
- Parametrically excited nonlinear waves and their localizations
- Heteroclinic dynamics in the nonlocal parametrically driven nonlinear Schrödinger equation
