Wave interactions in the singular Zakharov system

DOI10.1063/1.529430zbMath0850.76879OpenAlexW2003533546MaRDI QIDQ3977852

Paul K. Newton

Publication date: 25 June 1992

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.529430

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Ionized gas flow in electromagnetic fields; plasmic flow (76X05)

Related Items

Local discontinuous Galerkin methods for the generalized Zakharov system ⋮ Numerical methods for the generalized Zakharov system. ⋮ A Uniformly and Optimally Accurate Method for the Zakharov System in the Subsonic Limit Regime ⋮ The Interaction of Shocks with Dispersive Waves I. Weak Coupling Limit ⋮ On the convergence of a high-accuracy conservative scheme for the Zakharov equations ⋮ Uniform convergence of the legendre spectral method for the Zakharov equations ⋮ Efficient and accurate SAV schemes for the generalized Zakharov systems ⋮ The existence of exponentially decreasing solutions to time dependent hyperbolic systems ⋮ Stable manifolds to bounded solutions in possibly ill-posed PDEs

Cites Work

• Stability of plane wave solutions of nonlinear systems
• The nonlinear Schrödinger limit of the Zakharov equations governing Langmuir turbulence
• Turbulent transport and the random occurrence of coherent events
• On the complete integrability of a nonlinear Schrödinger equation
• Formation and Interaction of Sonic-Langmuir Solitons: Inverse Scattering Method
• The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
• Soliton Evolution in the Presence of Perturbation