Nonlinear Physical Science

Waves and Structures in Nonlinear Nondispersive Media

General Theory and Applications to Nonlinear Acoustics

Authors: Gurbatov, Sergey Nikolaevich, Rudenko, Oleg Vladimirovich, Saichev, A.I.

  • First book devoted completely to nonlinear structures (shocks, fronts, sawtooth waves, and 3D cell structures)
  • Describes nonlinear phenomena observed in astrophysics, acoustics, mechanics, geophysics, and oceanology
  • Contains mathematical models, general theory, examples and engineering applications
  • Can also be used as a textbook due to the clarity of presentation
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eBook $189.00
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  • ISBN 978-3-642-23617-4
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  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $249.00
price for USA
  • ISBN 978-3-642-23616-7
  • Free shipping for individuals worldwide
  • Online orders shipping within 2-3 days.
Rent the ebook  
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About this book

"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.

Table of contents (11 chapters)

  • Nonlinear Equations of the First Order

    Gurbatov, S. N. (et al.)

    Pages 3-37

  • Generalized Solutions of Nonlinear Equations

    Gurbatov, S. N. (et al.)

    Pages 39-82

  • Nonlinear Equations of the Second Order

    Gurbatov, S. N. (et al.)

    Pages 83-115

  • Field Evolution Within the Framework of the Burgers Equation

    Gurbatov, S. N. (et al.)

    Pages 117-152

  • Evolution of a Noise Field Within the Framework of the Burgers Equation

    Gurbatov, S. N. (et al.)

    Pages 153-187

Buy this book

eBook $189.00
price for USA (gross)
  • ISBN 978-3-642-23617-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $249.00
price for USA
  • ISBN 978-3-642-23616-7
  • Free shipping for individuals worldwide
  • Online orders shipping within 2-3 days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Waves and Structures in Nonlinear Nondispersive Media
Book Subtitle
General Theory and Applications to Nonlinear Acoustics
Authors
Series Title
Nonlinear Physical Science
Copyright
2011
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Higher Education Press, Beijing and Springer Berlin Heidelberg
Distribution Rights
Distribution rights in China: Higher Education Press.
eBook ISBN
978-3-642-23617-4
DOI
10.1007/978-3-642-23617-4
Hardcover ISBN
978-3-642-23616-7
Series ISSN
1867-8440
Edition Number
1
Number of Pages
XIV, 472
Additional Information
Jointly published with Higher Education Press.
Topics