Studies of solitary waves in plasma

Abstract

This thesis has been prepared out of the studies of nonlinear waves in plasma under different physical situations. The main objective of the investigation is to explore the possibilities of the formation of Solitary waves within the context of different theoretical plasma models. Mathematically, the plasma models are considered in the feasible domains available either in laboratories or in stellar plasmas. The first chapter deals with an introduction narrating the innovative investigations of plasma research ( both theoretical and experimental ) in the modern days all over the world. Recent setup in experimental device, used in the generation as well as confinement of plasma in different cases is depicated. Some of the multiple of methods used successfully in the field of wavelike phenomena has also been mentioned. Specific mathematical tools (such as standard equations) considered, in connection with plasma waves and instabilities are explained for continuance of the subsequent chapters. The remaining chapters have been devoted to specific investigation of elaborate mathematical and physical plasma situations, that lead to conclusions which often match with experimental expositions. The whole work of the thesis is confined to the studies of nonlinear waves in warm and cold collisionless plasma.On the basic of the degree of nonlinearity, two basic modes of plasma waves namely the Kinetic Alfven mode and the Ion Acoustic mode in the plasma have been incorporated. As such ion acoustic solitary waves (both in warm and cold plasmas) have been studied through the Kortweg-de Vries (KdV ) equation, for multispecies plasma. For the kinetic Alfven solitary waves (both in cold and warm plasmas), we have taken into account of the energy integral with total nonlinearity in the coupling process. In chapter 2, we have considered a multispecies warm plasma model in one dimension In this chapter, through calculations over second order quantities with reference to the small parameter and#400; (ltlt1 ) that stands for the weak nonlinearity