Note: Intro -- Nonlinear MHD Waves and Turbulence -- Nonlinear Phenomena Involving Dispersive Alfvén Waves -- 1 Introduction -- 2 Dispersive Alfvén Waves in a Uniform Plasma -- 3 Generation of Alfvén Waves -- 3.1 The Excitation by Electron Beams -- 3.2 Parametric Excitation -- 4 Nonlinear Effects Caused by Inertial Alfvén Waves -- 5 Amplitude Modulation of Kinetic Alfvén Waves -- 6 Modulation of MICA Waves -- 7 Self-Interaction between Dispersi e Alfvén Waves -- 7.1 Derivation of the Nonlinear Equations -- 7.2 The Dispersion Relation in an Inhomogeneous Plasma -- 7.3 Quasi-Stationary Dipolar Vortices -- 8 Chaos in Alfvénic Turbulence -- 9 Summary and Conclusions -- References -- Whistler Solitons, Their Radiation and the Self-Focusing of Whistler Wave Beams -- 1 Introduction -- 2 Basic Equations. Sla Ducts -- 3 Full Wave Solutions for the Sla Ducts -- 4 Sla Whistler Solitons -- 5 Self-Focusing of Whistler Wave Beams -- 6 Concluding Remarks -- References -- Alfvén Wave Filamentation and Plasma Heating -- 1 Introduction -- 2 Filamentation of Dispersive Alfvén Waves -- 2.1 Modulation Analysis -- 2.2 Convective Filamentation -- 2.3 Energy Dissipation and Application to the Solar Corona -- 2.4 Coupling to Low-Frequency Magneto-Sonic Waves -- 3 Filamentation of Weakly Dispersive Wave Trains -- 3.1 Envelope Dynamics -- 3.2 Dissipation of Weakly Dispersive Alfvé Wave -- 4 Filamentation in the Weakly Dispersive Longwavelength Regime -- 4.1 Equations for the Long-Wavele gth Dynamics when ß is Far From Unity -- 4.2 Long-Wavelength Dynamics for ß ~ 1 -- 4.3 Transverse Modulational Analysis of the Generalized DNLS Equations -- 5 Conclusions -- Acknowledgements -- References -- Nonlinear Quasiresonant Alfven Oscillations in a One-Dimensional Magnetic Cavity -- 1 Introduction -- 2 Basic Equations and Assumptions -- 3 Derivation of the Governing Equations. , 4 Energetics -- 5 Multistability -- 5.1 One-Mode Approximation -- 5.2 Numerical Results -- 6 Solutions with Shocks and High-Reynolds-Number Bifurcations -- 7 Conclusions -- References -- On the Reflection of Alfven Waves in the Inhomogenous Solar Wind -- 1 Introduction -- 2 Effects of Stratification, Hall Currents, Non-uniform Magnetic Fields and Mean Flow -- 2.1 Effects of Density Stratification and Hall Currents -- 2.2 Alvén Waves in a Spiral External Magnetic Field -- 2.3 Effects of Vertical Mean Flow in a Plane Parallel Atmosphere -- 2.4 Steepening of the Energy Spectrum with Kolmogorov or Kraichnan Exponents -- 3 Models Combining Radial Stratification, Mean Flow and Monopole External Magnetic Field -- 2.1 One- and Three-Dimensional Alfvén Waves in a Radial Uniform Mean Flow -- 2.2 Exacts Solution for Mean Flow Velocity Proportional to the Radius -- 2.3 Effects of the Transition Layer on the Properties of Alfvén Waves -- 2.4 Wave Transmission at the Critical Layer and Modification of the Wave Fields -- References -- Relativistic Alfven Solitons and Acceleration of Cosmic Rays -- 1 Introduction -- 2 The Nonlinear Relativistic Wavefront -- 2.1 Inertial Effect in a Cosmic Ray Plasma -- 2.2 Relativistic MHD -- 2.3 Relativistic DNLS Equations and Properties -- 2.4 Relativistic Hada's System -- 3 Generation of a Parallel Electric Field -- 3.1 Electrostatic Potential in the Wavefront -- 3.2 Nonlinear Landau Damping of Waves -- 4 Electron-Positron Plasma -- 5 Relativistic Fermi Acceleration -- 5.1 The Acceleration Scheme -- 5.2 The Non-relativistic Second and First Order Processes -- 5.3 The Efficiency of the Relativistic Fermi Acceleration -- 6 Astrophysics Consequences and Head on Collision of Solitons -- 7 Cosmic Rays Scattering off Magnetic Disturbances -- 7.1 Pitch Angle Scattering by Delocalized Waves. , 7.2 Scattering by a Localized Nonlinear Wavefront -- 8 Conclusion -- References -- Reduced Models of Magnetohydrodynamic Turbulence in the Interstellar Medium and the Solar Wind -- 1 Introduction -- 2 The Four-Field Model -- 3 The NI-MH Model -- 4 Four-Field Simulations: Implications for Pressure Fluctuations -- 5 Anisotropic Spectra in Weak Turbulence Theory -- Acknowledgments -- References -- Alfvenic Turbulence and Wave Propagation in the Corona and Heliosphere -- 1 Alfvén Waves Observed in the Solar Wind -- 2 Basic Features of Linear Propagation -- 2.1 Propagation throught a Static Atmosphere -- 2.2 Propagation in the Solar Wind -- 3 Observations of Alfvén Wave Generation -- 4 Non-linear Propagation in the Lower Atmosphere: Parametric Decay and Filamentation -- 5 Alfvén Solitons in the Solar Wind -- 6 Conclusions -- References -- Nonlinear Alfven Wave Interaction with Large-Scale Heliospheric Current Sheet -- 1 Introduction -- 2 A Model for Alfvén Wave Interaction with Heliospheric Current Sheet -- 2.1 Numerical Model -- 2.2 Numerical Technique -- 2.3 Initial Condition -- 3 Numerical Results -- 3.1 Time Evolution of the Alfvénic Correlation -- 3.2 Time Evolution of the Spectra -- 3.3 Density Magnetic Field Intensity Correlation -- 4 The Effects of an Inhomogeneous Entropy Distribution -- 4.1 A Physical Mechanism to Gener te Negative n-Tp Correlation -- 4.2 A Numerical Model with Inhomogeneous Entropy Distribution -- 4.3 Density-Temperature Correlations -- 5 Discussion and Conclusions -- Acknowledgements -- References -- Coherent Electrostatic Nonlinear Waves in Collisionless Space Plasmas -- 1 Introduction -- 2 Coherent Ion Acoustic Waves in the Solar Wind -- 3 Review of the Observational Evidence on Coherent Waves in the Earth's Environment -- 3.1 S3-3, VIKING, POLAR, and FAST Observations in the Earth's Auroral Regions. , 3.2 GEOTAIL and WIND Recent Observations in Other Parts of the Magnetosphere -- 3.3 Comparative Analysis of the Wave Properties -- 4 Theoretical Interpretat ons -- 5 Conclusion -- References -- Modeling the Dissipation Range of Magnetofluid Turbulence -- 1 Observational Background -- 2 More Realistic Dissipation Operators -- 2.1 Hyperresistivity and Hyperviscosity -- 2.2 Generalized Dissipation Operators -- 2.3 Hall MHD and Finite Larmor Radius Corrections -- 2.4 Kinetic Effects: Quasi-Invariants and Coarse-Graining -- 3 Summary and Conclusions -- References -- A Weak Turbulence Theory for Incompressible Magnetohydrodynamics -- 1 Introduction and General Discussion -- 1.1 Alfvén Weak Turbulence: the Kinematics, the Asymptotic Closure, and Some Results -- 2 The Derivation of the Kinetic Equations -- 2.1 The Basic Equations -- 2.2 Toroidal and Poloidal Fields -- 2.3 Moments and Cumulants -- 2.4 The Kinetic Equations -- 3 General Properties of the Kinetic Equations -- 3.1 Dynamical Decoupling in the Direction Parallel to B0 -- 3.2 Detailed Energy Conservation -- 3.3 Properties of Rs and Is -- 3.4 Purely 2D Modes and Two-Dimensionalisation of 3D Spectra -- 4 Asymptotic Solution of the 3D Kinetic Equations -- 5 Two-Dimensional Problem -- 5.1 Kolmogorov Spectra -- 5.2 Temporal Evolution of the Kinetic Equations -- 6 Front Propagation -- 7 Nonlocal Isotropic 3D MHD Turbulence -- 8 Conclusion -- Acknowledgements -- Appendix -- References -- Shell Models for MHD Turbulence -- 1 Introduction -- 2 Models with Nearest Neighbour Interactions -- 3 Models with Nearest and Next-Nearest Interactions -- 4 Dynamo Action in MHD Shell Models -- 5 Spectral Properties in Stationary Forced State -- 6 Fluxes, Inertial Range, and Intermittency -- 7 Conclusions -- References -- Dynamics of Vortex and Magnetic Lines in Ideal Hydrodynamics and MHD -- 1 Introduction. , 2 General Remarks -- 3 Vortex Line Representation -- 4 Variational Principle -- 5 Integrable Hydrodynamics -- 6 Lagrangian Description of MHD -- 7 Frozen-In MHD Fields -- 8 Relabeling Symmetry in MHD -- 9 Variational Principle for Incompressible MHD -- Acknowledgments -- References -- Quasi-Two-Dimensional Hydrodynamics and Interactions of Vortex Tubes -- 1 Introduction -- 2 Quasi-Two-Dimensional Hydrodynamics -- 3 Dynamics of the Isolated Vortex Tube -- 4 Vortex Tube in a External Flow -- 5 Interaction of Vortex Tubes -- 6 Instability and Collapse of Traveling Vortex Pair -- 7 Solitons on the Co-rotating Vortex Pair -- References.

Note: Cover -- Title page -- Contents -- Preface -- Hydrodynamic limits of kinetic models -- Collisionless plasmas and the Vlasov Maxwell system -- Irreversible behaviours in Vlasov equation and many-body Hamiltonian dynamics: Landau damping, chaos and granularity -- Introduction to the guiding center theory -- Variational formulations of exact and reduced Vlasov-Maxwell equations -- A short introduction to general gyrokinetic theory -- Introduction to gyrokinetic theory with applications in magnetic confinement research in plasma physics -- From kinetic to fluid descriptions of plasmas -- Nonlocal closures in long mean free path regimes -- How to model quantum plasmas -- Inelastic kinetic theory: The granular gas -- Back Cover.