Waves are essential phenomena in most scientific and engineering disciplines, such as electromagnetism and optics, and different mechanics including fluid, solid, structural, quantum, etc. They appear in linear and nonlinear systems. Some can be observed directly and others are not. The features of the waves are usually described by solutions to either linear or nonlinear partial differential equations, which are fundamental to the students and researchers. Generic equations, describing wave and pulse propagation in linear and nonlinear systems, are introduced and analyzed as initial/boundary value problems. These systems cover the general properties of non-dispersive and dispersive, uniform and non-uniform, with/without dissipations. Methods of analyses are introduced and illustrated with analytical solutions. Wave-wave and wave-particle interactions ascribed to the nonlinearity of media (such as plasma) are discussed in the final chapter. This interdisciplinary textbook is essential reading for anyone in above mentioned disciplines. It was prepared to provide students with an understanding of waves and methods of solving wave propagation problems. The presentation is self-contained and should be read without difficulty by those who have adequate preparation in classic mechanics. The selection of topics and the focus given to each provide essential materials for a lecturer to cover the bases in a linear/nonlinear wave course. Key Features • There are many journal articles, monographs, and advanced reference books in this subject area, but a textbook to introduce this topic area systematically is not available • This book is presented from the physics and engineering point of view, rather than from the mathematics point of view, it makes this book easy for the physics and engineering students to accept it • It prepares students with an understanding of wave phenomena and knowledge of solving wave propagation problems, which enable them to expand their studies into related areas • The selection of topics and the focus given to each provide essential materials for a lecturer to cover the bases in a linear/nonlinear wave course

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