The effect of resonant particles on Alfvén solitons

DOI10.1016/0167-2789(89)90019-5zbMath0679.76057OpenAlexW1969495178MaRDI QIDQ1823100

Einar Mjølhus, Tor Flå, John A. Wyller

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0167-2789(89)90019-5

zbMATH Keywords

perturbation methodAlfvén solitonextended DNLS equationinverse scattering data formalismresonant particlesSoliton perturbation theory

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 (5)

Weak solutions for the derivative nonlinear Schrödinger equation ⋮ Quasi-particle theory of Alfven soliton interaction in plasmas ⋮ Soliton perturbation theory for the modified nonlinear Schrödinger equation ⋮ Stochastic perturbation of solitons for Alfvén waves in plasmas ⋮ Generating mechanism and dynamic of the smooth positons for the derivative nonlinear Schrödinger equation

Cites Work

• Unnamed Item
• A perturbation theory for Alfvén solitons
• Pseudospectral approximation to two-dimensional turbulence
• Modified Nonlinear Schrödinger Equation for Alfvén Waves Propagating along the Magnetic Field in Cold Plasmas
• Modification of Korteweg–de Vries solitons in plasmas by resonant particles
• A numerical study of nonlinear Alfvén waves and solitons
• The onset of Alfvénic turbulence
• A Perturbation Expansion for the Zakharov–Shabat Inverse Scattering Transform
• An exact solution for a derivative nonlinear Schrödinger equation
• A numerical and theoretical study of certain nonlinear wave phenomena
• Numerical Simulation of Incompressible Flows Within Simple Boundaries. I. Galerkin (Spectral) Representations

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