Stability of quasilongitudinally propagating solitons in a plasma with Hall dispersion

DOI10.1007/BF01052267zbMath0639.76057MaRDI QIDQ1100030

Michael S. Ruderman

Publication date: 1987

Published in: Fluid Dynamics (Search for Journal in Brave)

zbMATH Keywords

nonlinear Schrödinger equationKorteweg-de Vries equationstability of solitonsnon-one-dimensional perturbations

Mathematics Subject Classification ID

Partial differential equations of mathematical physics and other areas of application (35Q99) Stability and instability of magnetohydrodynamic and electrohydrodynamic flows (76E25) Ionized gas flow in electromagnetic fields; plasmic flow (76X05)

Related Items (2)

An efficient Hermite-Galerkin spectral scheme for three-dimensional incompressible Hall-magnetohydrodynamic system on infinite domain ⋮ Structure and stability of quasiparallel small-amplitude magnetohydrodynamic shocks

Cites Work

• Unnamed Item
• Numerical solution of the Zakharov equations
• Method of derivation of the Korteweg-de Vries-Burgers equation
• Quasilongitudinal propagation of Narrow beams of nonlinear magnetohydrodynamic waves
• Modified Nonlinear Schrödinger Equation for Alfvén Waves Propagating along the Magnetic Field in Cold Plasmas
• Exact Solutions of the Derivative Nonlinear Schrödinger Equation under the Nonvanishing Conditions
• A Generalization of Inverse Scattering Method
• Inverse Method for the Mixed Nonlinear Schrödinger Equation and Soliton Solutions
• A numerical study of nonlinear Alfvén waves and solitons
• An exact solution for a derivative nonlinear Schrödinger equation

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