The anisotropic collapse of Langmuir waves

DOI10.1016/0167-2789(87)90010-8zbMath0661.76121OpenAlexW2014428699MaRDI QIDQ1113774

Guy Pelletier

Publication date: 1987

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(87)90010-8

zbMATH Keywords

plasmaSchrödinger equationperturbation techniqueinverse scattering methodself-gravitating systemsLangmuir wavescollapsing wave packetspancake-shaped solutionsself-focusing of Langmuir wavessonic equation

Mathematics Subject Classification ID

Partial differential equations of mathematical physics and other areas of application (35Q99) Ionized gas flow in electromagnetic fields; plasmic flow (76X05)

Related Items

Dynamical stability analysis of strong/weak wave collapses, Collapsing solutions of the Zakharov equations with anisotropic contraction rates, Scaling behavior of the vector nonlinear Schrödinger and Zakharov equations with driving and dissipation, Stability of isotropic singularities for the nonlinear Schrödinger equation

Cites Work

• Autonomous dynamical systems arising from self-similar parameterization of damped/driven NLS equations
• Numerical simulation of singular solutions to the two-dimensional cubic schrödinger equation
• Dimensionality and dissipation in Langmuir collapse
• Scattering and collpase of Langmuir waves driven by a weak electron beam
• On the blowing up of solutions to the Cauchy problem for nonlinear Schrödinger equations
• Steady-state turbulence with a narrow inertial range