Basics of Nonlinear Wave Theory

This book contains a special course on foundations of theory of nonlinear waves observed in a number of natural phenomena. In it the reader can find the basic methods of mathematical description of these phenomena. It details the methods for solving of nonlinear equations of: simple waves Burgers Schrodinger sine-Gordon Korteweg de Vries etc. The different methods of construction of multi-soliton solutions of these equations are described. Some applications of nonlinear wave theory in hydro- and gas- dynamics optics electrodynamics are discussed. The book is addressed to university students graduate students and professionals studying nonlinear phenomena.