This book is devoted to a systematic statement of the foundations of nonlinear wave mechanics - a new branch of mechanics, which is a scientific basis for wave technologies, having no analogues in world practice.

The results of the application of wave technologies in most cases cannot be obtained in practice by the methods currently known because of the quality of materials and products, the power inputs (a high quality of the products obtained using wave technologies is achieved at a significant reduction of power inputs), and other indicators. The necessity to implement the wave of technologies in practice has led to the development of a new area of mechanical engineering - wave engineering.

The main results (non-classical formulations of the problems, methods of investigation, new relationships of wave and oscillating processes in multiphase systems, wave mechanisms of motions and of stabilization, wave and oscillating phenomena and effects), presented in this book show conclusively that a number of wave phenomena and effects cannot be obtained (even using the most ultimate modern supercomputers) without successful preliminary analytical procedure of establishment of the modes of motion. Here, analytics provides a clear understanding of physics and mechanics of nonlinear wave phenomena. These moments are likely to be taken as a natural approach by physicists and engineers delving into complex nonlinear wave and oscillating processes, especially at the conditions of nonlinear resonances. In order to successfully solve such complex problems, it is necessary to reveal a certain art while formulating the problems on mechanics, based on the experience of work in the field of nonlinear oscillations and practical observations over oscillating and wave processes.