Stationary nonlinear Alfven waves and solitons

Details Stationary nonlinear Alfven waves and solitons Stationary nonlinear Alfven waves and solitons

Jan 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989jgr....94...65h&link_type=abstract

(Chapman Conference on Plasma Waves and Instabilities in Magnetospheres and at Comets, Sendai, Japan, Oct. 12-16, 1987) Journal

Physics

70

Magnetohydrodynamic Waves, Nonlinear Equations, Schroedinger Equation, Solitary Waves, Equipotentials, Monochromatic Radiation, Propagation Modes, Pseudopotentials, Steady State

Scientific paper

Stationary solutions of the derivative nonlinear Schroedinger equation are discussed and classified by using a pseudopotential formulation. The solutions consist of a rich family of nonlinear Alfven waves and solitons with parallel and oblique propagation directions. Expressions for the envelope and the phase of nonlinear waves with periodic envelope modulation, and 'hyperbolic' and 'algebraic' solitons are given. The propagation angle for the slightly modulated elliptic, periodic waves and for oblique solitons is evaluated.

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