Nonlinear, dispersive, elliptically polarized Alfvén waves

C. F. Kennel, B. Buti, Tohru Hada, R. Pellat

研究成果: Contribution to journalArticle査読

抄録

The derivative nonlinear Schrödinger (DNLS) equation is derived by an efficient means that employs Lagrangian variables. An expression for the stationary wave solutions of the DNLS that contains vanishing and nonvanishing and modulated and nonmodulated boundary conditions as subcases is then obtained. The solitary wave solutions for elliptically polarized quasiparallel Alfvén waves in the magnetohydrodynamic limit (nonvanishing, unmodulated boundary conditions) are obtained. These converge to the Korteweg–de Vries and the modified Korteweg–de Vries solitons obtained previously for oblique propagation, but are more general. It is shown there are no envelope solitary waves if the point at infinity is unstable to the modulational instability. The periodic solutions of the DNLS are charcterized.
本文言語英語
論文番号10.1063/1.866642
ページ(範囲)1949-1961
ページ数13
ジャーナルPhysics of Fluids B
31
出版ステータス出版済み - 6 1988

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