Titlebook: Nonlinear MHD Waves and Turbulence; Proceedings of the W Thierry Passot,Pierre-Louis Sulem Conference proceedings 1999 Springer-Verlag Berl

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Dynamics of Vortex and Magnetic Lines in Ideal Hydrodynamics and MHD,nt fluids. The Weber type transformation for ideal MHD gives the whole Lagrangian vector invariant. When this invariant is absent this transformation coincides with the Clebsch representation analog introduced in

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Conference proceedings 1999s expanded versions of oral contributions pre­ sented at this meeting, should be of interest for a large community of resear­ chers in space plasmas and nonlinear sciences. Special effort was made to put the new results into perspective and to provide a detailed literature review. A main motivation

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,Nonlinear Phenomena Involving Dispersive Alfvén Waves, with small amplitude Alfvén waves and their relation with other low-frequency plasma modes in a uniform plasma. We then show that dispersive Alfvén waves can be excited either by electron beams or by high-frequency external pump waves. Finite amplitude dispersive Alfvén waves interact with the back

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,Alfvén Wave Filamentation and Plasma Heating,equations are here derived to describe this phenomenon. They apply in different regimes, depending on the level of the dispersion with respect to the nonlinearity. The (scalar) nonlinear Schrödinger equation, valid when the wave is strongly dispersive, allows the study of the influence of the coupli

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,Nonlinear Quasiresonant Alfvén Oscillations in a One-Dimensional Magnetic Cavity,rced by the shear motion of its boundaries is studied. It is shown that, even in the case of strong nonlinearity, these oscillations can be represented, to leading order, by a sum of two solutions in the form of oppositely propagating waves with permanent shapes. An infinite set of nonlinear algebra

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,On the Reflection of Alfvén Waves in the Inhomogeneous Solar Wind,) the mass density of the medium, (ii) strength and direction of the external magnetic field, (iii) of the mean flow velocity and (iv) of multiple ion species in the background. The effects (i) to (iv) are studied initially isolated and then in combination, causing the reflection of Alfvén waves, wh

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,Relativistic Alfvén Solitons and Acceleration of Cosmic Rays, those plasmas have specific properties that are presented in this paper. Nonlinear dynamics are different in a pair plasma and in proton dominated plasma. The nonlinear disturbances of Alfvén type are interesting to accelerate relativistic particles and the extension of Fermi acceleration to a rela