This book is written in a lucid and systematic way for advanced postgraduates and researchers studying applied mathematics, plasma physics, nonlinear differential equations, nonlinear optics, and other engineering branches where nonlinear wave phenomena is essential.In sequential order of the book's development, readers will understand basic plasmas with elementary definitions of magnetized and unmagnetized plasmas, plasma modeling, dusty plasma and quantum plasma. Following which, the book describes linear and nonlinear waves, solitons, shocks and other wave phenomena, while solutions to common nonlinear wave equations are derived via standard techniques. Readers are introduced to elementary perturbation and non-perturbation methods. They will discover several evolution equations in different plasma situations as well as the properties of solitons in those environments. Pertaining to those equations, readers will learn about their higher order corrections, as well as their different forms and solutions in non-planar geometry. The book offers further studies on different types of collisions between solitons in plasma environment, phenomena of soliton turbulence as a consequence of multi-soliton interactions, properties of large amplitude solitary waves which are discovered via non-perturbative Sagdeev's Pseudopotential Approach, as well as the speed and shape of solitons. Finally, the book reveals possible future developments of research in this rich field.

Fluctuations and Non-linear Wave Interactions in Plasmas talks about a theory of fluctuations in a homogenous plasma. The title takes into consideration non-linear wave interactions. The text first presents the statistical description of plasma, and then proceeds to covering non-linear electrodynamic equations. Next, the selection deals with the electrodynamic properties of magento-active plasma and waves in plasma. The text also tackles non-linear wave interactions, along with fluctuations in plasmas. The next chapter talks about the effect of non-linear wave interaction on fluctuations in a plasma. Chapter 8 details fluctuation-dissipation theorem, while Chapter 9 discusses kinetic equations. The tenth chapter covers the scattering and radiation of waves and the last chapter tackles wave interaction in semi-bounded plasma. The book will be of great use to scientists and professionals who deals with plasmas.

The interaction of electromagnetic waves with matter has always been a fascinating subject of study. As matter in the universe is mostly in the plasma state, the study of electromagnetic waves in plasmas is of importance to astrophysics, space physics and ionospheric physics. The physics of electromagnetic wave interacting with electron beams and plasmas also serves as a basis for coherent radiation generation such as free electron laser and gyrotron and advanced accelerators. This monograph aims at reviewing the physical processes of linear and nonlinear collective interactions of electromagnetic waves with electron beams and unmagnetized plasmas.

Presents in a systematic and unified manner the ray method, in its various forms, for studying nonlinear wave propagation in situations of physical interest, essentially fluid dynamics and plasma physics.