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Object for study is multicomponent media with the internal exchanged processes. Intrinsic inhomogeneities give rise to the remarkable/unusual nonlinear behaviors demonstrated by these media at quasistatic and dynamic mechanical loads. The purpose of this book is to describe the dynamic behaviors of there media in terms of physically motivated models. New method of structure diagnostics by means of the nonlinear waves is suggested. The research of nonlinear evolution equations is carried out. The special attention is focused on development of models for describing both stress-strain properties...

This book shows that the physical phenomena and processes that take place in nature generally have complicated nonlinear features, which leads to nonlinear mathematical models for the real processes. It focuses on the practical issues involved here, as well as the development of methods to investigate the associated nonlinear mathematical problems, including nonlinear wave propagation. It acquaints the reader with a series of methods and approaches that can be applied to a wide class of nonlinear equations. The book also outlines a way in which an uninitiated reader could investigate a new...