Waves and Structures in Nonlinear Nondispersive Media: General Theory and Applications to Nonlinear Acoustics

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"Waves and Structures in Nonlinear Nondispersive Media: General Theory and Applications to Nonlinear Acoustics”is devoted completely to nonlinear structures. The general theory is given here in parallel with mathematical models. Many concrete examples illustrate the general analysis of Part I. Part II is devoted to applications to nonlinear acoustics, including specific nonlinear models and exact solutions, physical mechanisms of nonlinearity, sawtooth-shaped wave propagation, self-action phenomena, nonlinear resonances and engineering application (medicine, nondestructive testing, geophysics, etc.).

This book is designed for graduate and postgraduate students studying the theory of nonlinear waves of various physical nature. It may also be useful as a handbook for engineers and researchers who encounter the necessity of taking nonlinear wave effects into account of their work.

Dr. Gurbatov S.N. is the head of Department, and Vice Rector for Research of Nizhny Novgorod State University. Dr. Rudenko O.V. is the Full member of Russian Academy of Sciences, the head of Department at Moscow University and Professor at BTH (Sweden). Dr. Saichev A.I. is the Professor at the Faculty of Radiophysics of Nizhny Novgorod State University, Professor of ETH Zürich.

Author(s): S. N. Gurbatov, O. V. Rudenko, A. I. Saichev (auth.)
Series: Nonlinear Physical Science
Edition: 1
Publisher: Springer-Verlag Berlin Heidelberg
Year: 2012

Language: English
Pages: 472
Tags: Acoustics;Theoretical and Applied Mechanics;Nonlinear Dynamics;Dynamical Systems and Ergodic Theory

Front Matter....Pages i-xiv
Front Matter....Pages 1-1
Nonlinear Equations of the First Order....Pages 3-37
Generalized Solutions of Nonlinear Equations....Pages 39-82
Nonlinear Equations of the Second Order....Pages 83-115
Field Evolution Within the Framework of the Burgers Equation....Pages 117-152
Evolution of a Noise Field Within the Framework of the Burgers Equation....Pages 153-187
Multidimensional Nonlinear Equations....Pages 189-244
Front Matter....Pages 245-245
Model Equations and Methods of Finding Their Exact Solutions....Pages 247-269
Types of Acoustic Nonlinearities and Methods of Nonlinear Acoustic Diagnostics....Pages 271-307
Nonlinear Sawtooth Waves....Pages 309-355
Self-action of Spatially Bounded Waves Containing Shock Fronts....Pages 357-387
Nonlinear Standing Waves, Resonance Phenomena and Frequency Characteristics of Distributed Systems....Pages 389-439
Back Matter....Pages 441-472