A nonlinearity is one of the most important notions in modern physics. A plasma is rich in nonlinearities and provides a variety of behaviors inherent to instabilities, coherent wave structures and turbulence. The book covers the basic concepts and mathematical methods, necessary to comprehend nonlinear problems widely encountered in contemporary plasmas, but also in other fields of physics and current research on self-organized structures and magnetized plasma turbulence. The analyses make use of strongly nonlinear models solved by analytical techniques backed by extensive simulations and available experiments. The text is written for senior undergraduates, graduate students, lecturers and researchers in laboratory, space and fusion plasmas.

Contenu
Fundamentals of Plasma Physics.- Basic Properties of High Temperature Plasmas.- The Kinetic Theory of Plasmas.- The Fluid Theory of Plasmas.- Waves in Plasmas.- Nonlinear Theory of Plasmas.- Nonlinear Interactions in Plasmas.- Solitons in Plasmas.- Vortical Motions in Plasmas.- Chaos in Plasmas.- Ponderomotive Potential and Magnetization.- Structures in Strong Plasma Turbulence.- Strong Langmuir Turbulence.- Wave Collapse in Plasmas.- Spatiotemporal Complexity in Plasmas.- Relativistic Laser Plasma Interactions.- Multiscale Plasma Interactions.- Multifractal Characterization of Plasma Edge Turbulence.- Multi-Scale Modelling of Nonlinear Plasmas.