Includes bibliographical references.

Nonlinear phenomena involving dispersive Alfvén waves / P.K. Shukla, L. Stenflo -- Whistler solitons, their radiation and the self-focusing of Whistler wave beams / V.I. Karpman -- Alfvén wave filamentation and plasma heating / S. Champeaux [and others] -- Nonlinear quasiresonant Alfvén oscillations in a one-dimensional magnetic cavity / L. Nocera, M.S. Ruderman -- On the reflection of Alfvén waves in the inhomogeneous solar wind / L.M.B.C. Campos, N.L. Isaeva, P.J.S. Gil -- Relativistic Alfvén solitons and acceleration of cosmic rays / G. Pelletier -- Reduced models of magnetohydrodynamic turbulence in the interstellar medium and the solar wind / A. Bhattacharjee, C.S. Ng -- Alfvénic turbulence and wave propagation in the corona and heliosphere / M. Velli -- Nonlinear Alfvén wave interaction with large-scale heliospheric current sheet / P. Veltri, F. Malara, L. Primavera -- Coherent electrostatic nonlinear waves in collisionless space plasmas / C. Salem, A. Mangeney, J.-L. Bougeret -- Modeling the dissipation range of magnetofluid turbulence / M.L. Goldstein [and others] -- A weak turbulence theory for incompressible MHD / S. Galtier [and others] -- Shell models for MHD turbulence / P. Giuliani -- Dynamics of vortex and magnetic lines in ideal hydrodynamics and MHD / E.A. Kuznetsov, V.P. Ruban -- Quasi-two-dimensional hydrodynamics and interaction of vortex tubes / V.E. Zakharov.

This book is of interest to researchers in astrophysics and the planetary sciences. It surveys the current knowledge on the propagation of nonlinear waves and the development of a turbulent dynamics in magnetohydrodynamic flows. The authors emphasize how the theoretical understanding of MHD waves and turbulence is related to the description of media where the presence of an ambient magnetic field is known to play an essential role. These effects are important in the physics of various space plasmas such as the magnetosphere, the solar wind, the solar corona, the interplanetary and interstellar media, etc. The authors treat fundamental aspects as revealed by asymptotic analysis, numerical simulations, and observations in the solar wind.