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Waves and Structures in Nonlinear Nondispersive Media: General Theory and Applications to Nonlinear Acoustics (Nonlinear Physical Science)

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Waves and Structures in Nonlinear Nondispersive Media: General Theory and Applications to Nonlinear Acoustics (Nonlinear Physical Science) Cover

 

Synopses & Reviews

Publisher Comments:

"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.

Synopsis:

This book offers general theory, with mathematical models and concrete examples, plus applications to nonlinear acoustics, including specific nonlinear models and exact solutions, physical mechanisms of nonlinearity, sawtooth-shaped wave propagation and more.

Table of Contents

Part I. Foundations of The Theory of Waves in Nondispersive. Nonlinear Equations of The First Order.- Generalized Solutions of Nonlinear Equation.- Nonlinear Equations of The Second Order.- Field Evolution Governed by Burgers Equation.- Evolution of A Noise Field Governed.- Multi-dimensional Nonlinear Equations.- Part II. Mathematical Models and Physical Phenomena in Nonlinear Acoustics. Model Equations and Methods Of Finding of Their Exact Solutions.- Types of Acoustic Nonlinearities and Methods of Nonlinear Acoustic Diagnostics.- Nonlinear Sawtooth Waves.- Self-Action of Spatially Bounded Waves Containing Shock Fronts.- Nonlinear Standing Waves, Resonance Phenomena and Frequency Characteristics of Distributed Systems.

Product Details

ISBN:
9783642236167
Author:
Gurbatov, S. N.
Publisher:
Springer
Author:
Rudenko, O.V.
Author:
Gurbatov, Sergey Nikolaevich
Author:
Gurbatov, S.N.
Author:
Saichev, A. I.
Author:
Rudenko, Oleg Vladimirovich
Subject:
Acoustics & Sound
Subject:
Biomedical Engineering
Subject:
Evolution equations
Subject:
Nonlinear structure
Subject:
Nonlinear testing
Subject:
Sawtooth wave
Subject:
Acoustics
Subject:
Theoretical and Applied Mechanics
Subject:
Nonlinear Dynamics.
Subject:
Dynamical Systems and Ergodic Theory
Subject:
Physics-Acoustics
Copyright:
Edition Description:
2012
Series:
Nonlinear Physical Science
Publication Date:
20111128
Binding:
HARDCOVER
Language:
English
Pages:
500
Dimensions:
235 x 155 mm

Related Subjects


Science and Mathematics » Materials Science » General
Science and Mathematics » Mathematics » Analysis General
Science and Mathematics » Mathematics » Physics
Science and Mathematics » Mathematics » Popular Chaos and Fractals
Science and Mathematics » Physics » Acoustics
Science and Mathematics » Physics » General

Waves and Structures in Nonlinear Nondispersive Media: General Theory and Applications to Nonlinear Acoustics (Nonlinear Physical Science) New Hardcover
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Product details 500 pages Springer - English 9783642236167 Reviews:
"Synopsis" by , This book offers general theory, with mathematical models and concrete examples, plus applications to nonlinear acoustics, including specific nonlinear models and exact solutions, physical mechanisms of nonlinearity, sawtooth-shaped wave propagation and more.
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