Waves and Structures in Nonlinear Nondispersive Media: General Theory and Applications to Nonlinear Acoustics
Gespeichert in:
| Format: | Elektronisch E-Book |
|---|---|
| Sprache: | English |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
2012
|
| Schriftenreihe: | Nonlinear Physical Science
|
| Schlagworte: | |
| Online-Zugang: | TUM01 UBT01 Volltext |
| Beschreibung: | 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. "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. |
| Beschreibung: | 1 Online-Ressource |
| ISBN: | 9783642236174 |
| DOI: | 10.1007/978-3-642-23617-4 |
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| spelling | Waves and Structures in Nonlinear Nondispersive Media General Theory and Applications to Nonlinear Acoustics by S. N. Gurbatov, O. V. Rudenko, A. I. Saichev Berlin, Heidelberg Springer Berlin Heidelberg 2012 1 Online-Ressource txt rdacontent c rdamedia cr rdacarrier Nonlinear Physical Science 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. "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. Physics Differentiable dynamical systems Acoustics Mechanics, applied Theoretical and Applied Mechanics Nonlinear Dynamics Dynamical Systems and Ergodic Theory Nichtlineare Wellenausbreitung (DE-588)4140376-9 gnd rswk-swf Nichtlineare Welle (DE-588)4042102-8 gnd rswk-swf Nichtlineare Akustik (DE-588)4171746-6 gnd rswk-swf Nichtlineare Welle (DE-588)4042102-8 s Nichtlineare Wellenausbreitung (DE-588)4140376-9 s 1\p DE-604 Nichtlineare Akustik (DE-588)4171746-6 s 2\p DE-604 Gurbatov, S. N. Sonstige oth Rudenko, O. V. Sonstige oth Saichev, A. I. Sonstige oth https://doi.org/10.1007/978-3-642-23617-4 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Waves and Structures in Nonlinear Nondispersive Media General Theory and Applications to Nonlinear Acoustics Physics Differentiable dynamical systems Acoustics Mechanics, applied Theoretical and Applied Mechanics Nonlinear Dynamics Dynamical Systems and Ergodic Theory Nichtlineare Wellenausbreitung (DE-588)4140376-9 gnd Nichtlineare Welle (DE-588)4042102-8 gnd Nichtlineare Akustik (DE-588)4171746-6 gnd |
| subject_GND | (DE-588)4140376-9 (DE-588)4042102-8 (DE-588)4171746-6 |
| title | Waves and Structures in Nonlinear Nondispersive Media General Theory and Applications to Nonlinear Acoustics |
| title_auth | Waves and Structures in Nonlinear Nondispersive Media General Theory and Applications to Nonlinear Acoustics |
| title_exact_search | Waves and Structures in Nonlinear Nondispersive Media General Theory and Applications to Nonlinear Acoustics |
| title_full | Waves and Structures in Nonlinear Nondispersive Media General Theory and Applications to Nonlinear Acoustics by S. N. Gurbatov, O. V. Rudenko, A. I. Saichev |
| title_fullStr | Waves and Structures in Nonlinear Nondispersive Media General Theory and Applications to Nonlinear Acoustics by S. N. Gurbatov, O. V. Rudenko, A. I. Saichev |
| title_full_unstemmed | Waves and Structures in Nonlinear Nondispersive Media General Theory and Applications to Nonlinear Acoustics by S. N. Gurbatov, O. V. Rudenko, A. I. Saichev |
| title_short | Waves and Structures in Nonlinear Nondispersive Media |
| title_sort | waves and structures in nonlinear nondispersive media general theory and applications to nonlinear acoustics |
| title_sub | General Theory and Applications to Nonlinear Acoustics |
| topic | Physics Differentiable dynamical systems Acoustics Mechanics, applied Theoretical and Applied Mechanics Nonlinear Dynamics Dynamical Systems and Ergodic Theory Nichtlineare Wellenausbreitung (DE-588)4140376-9 gnd Nichtlineare Welle (DE-588)4042102-8 gnd Nichtlineare Akustik (DE-588)4171746-6 gnd |
| topic_facet | Physics Differentiable dynamical systems Acoustics Mechanics, applied Theoretical and Applied Mechanics Nonlinear Dynamics Dynamical Systems and Ergodic Theory Nichtlineare Wellenausbreitung Nichtlineare Welle Nichtlineare Akustik |
| url | https://doi.org/10.1007/978-3-642-23617-4 |
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