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Waves and Structures in Nonlinear Nondispersive Media

General Theory and Applications to Nonlinear Acoustics

  • S. N. Gurbatov
  • O. V. Rudenko
  • A. I. Saichev

Part of the Nonlinear Physical Science book series (NPS)

Table of contents

  1. Front Matter
    Pages i-xiv
  2. Foundations of the Theory of Waves in Nondispersive Media

    1. Front Matter
      Pages 1-1
    2. S. N. Gurbatov, O. V. Rudenko, A. I. Saichev
      Pages 3-37
    3. S. N. Gurbatov, O. V. Rudenko, A. I. Saichev
      Pages 39-82
    4. S. N. Gurbatov, O. V. Rudenko, A. I. Saichev
      Pages 83-115
    5. S. N. Gurbatov, O. V. Rudenko, A. I. Saichev
      Pages 117-152
    6. S. N. Gurbatov, O. V. Rudenko, A. I. Saichev
      Pages 153-187
    7. S. N. Gurbatov, O. V. Rudenko, A. I. Saichev
      Pages 189-244
  3. Mathematical Models and Physical Phenomena in Nonlinear Acoustics

    1. Front Matter
      Pages 245-245
    2. S. N. Gurbatov, O. V. Rudenko, A. I. Saichev
      Pages 247-269
    3. S. N. Gurbatov, O. V. Rudenko, A. I. Saichev
      Pages 271-307
    4. S. N. Gurbatov, O. V. Rudenko, A. I. Saichev
      Pages 309-355
    5. S. N. Gurbatov, O. V. Rudenko, A. I. Saichev
      Pages 357-387
  4. Back Matter
    Pages 441-472

About this book

Introduction

"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.

Keywords

Biomedical engineering Evolution equations HEP NPS Nonlinear structure Nonlinear testing Sawtooth wave

Authors and affiliations

  • S. N. Gurbatov
    • 1
  • O. V. Rudenko
    • 2
  • A. I. Saichev
    • 3
  1. 1.Radiophysics DepartmentNizhny Novgorod State UniversityNizhny NovgorodRussia
  2. 2.Physics DepartmentMoscow State UniversityMoscowRussia
  3. 3.Radiophysics DepartmentNizhny Novgorod State UniversityNizhny NovgorodRussia

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-23617-4
  • Copyright Information Higher Education Press, Beijing and Springer Berlin Heidelberg 2012
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-642-23616-7
  • Online ISBN 978-3-642-23617-4
  • Series Print ISSN 1867-8440
  • Buy this book on publisher's site