Long-wave short-wave resonance for nonlinear geometric optics.
From MaRDI portal
Publication:1847823
DOI10.1215/S0012-7094-01-10725-4zbMath1034.35133MaRDI QIDQ1847823
Publication date: 27 October 2002
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with optics and electromagnetic theory (35Q60) First-order nonlinear hyperbolic equations (35L60) Asymptotic expansions of solutions to PDEs (35C20) Lasers, masers, optical bistability, nonlinear optics (78A60) Resonance in context of PDEs (35B34)
Related Items
Oscillations fortes sur un champ linéairement dégénéré ⋮ Justification of the Zakharov Model from Klein–Gordon-Wave Systems ⋮ Partially strong transparency conditions and a singular localization method in geometric optics ⋮ Non-existence of global solutions for a quasilinear Benney system ⋮ General higher—order breathers and rogue waves in the two‐component long‐wave–short‐wave resonance interaction model ⋮ On a quasilinear nonlocal Benney system ⋮ Long-wave short-wave resonance case for a generalized Davey-Stewartson system ⋮ Numerical computations for long-wave short-wave interaction equations in semi-classical limit ⋮ Non-existence and existence of localized solitary waves for the two-dimensional long-wave-short-wave interaction equations ⋮ Transverse linear instability of solitary waves for coupled long-wave-short-wave interaction equations ⋮ A numerical study of the long-wave short-wave resonance for 3D water waves ⋮ Zero-dispersion limit of the short-wave--long-wave interaction equations ⋮ Secular growth estimates for hyperbolic systems. ⋮ On the propagation of regularities in solutions of the fifth order Kadomtsev-Petviashvili II equation ⋮ Multifrequency NLS Scaling for a Model Equation of Gravity-Capillary Waves
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Applications of Schochet's methods to parabolic equations
- The nonlinear Schrödinger equation. Self-focusing and wave collapse
- Existence and smoothing effect of solutions for the Zakharov equations
- Fast singular limits of hyperbolic PDEs
- Oscillatory perturbations of the Navier-Stokes equations
- Transparent nonlinear geometric optics and Maxwell-Bloch equations.
- Local solution for the Kadomtsev-Petviashvili equation in \(\mathbb{R}^ 2\)
- Diffractive nonlinear geometric optics with rectification
- On a nonlinear Schrödinger equation arising in the theory of water waves
This page was built for publication: Long-wave short-wave resonance for nonlinear geometric optics.
