Selected Topics in Nonlinear Wave Mechanics

Editors: Christov, C.I., Guran, Arde (Eds.)

Buy this book

eBook $109.00
price for USA (gross)
  • ISBN 978-1-4612-0095-6
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $179.00
price for USA
  • ISBN 978-0-8176-4059-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $149.00
price for USA
  • ISBN 978-1-4612-6609-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

This book gives an overview ofthe current state of nonlinear wave mechanics with emphasis on strong discontinuities (shock waves) and localized self­ preserving shapes (solitons) in both elastic and fluid media. The exposition is intentionallyat a detailed mathematical and physical level, our expectation being that the reader will enjoy coming to grips in a concrete manner with advances in this fascinating subject. Historically, modern research in nonlinear wave mechanics began with the famous 1858 piston problem paper of Riemann on shock waves and con­ tinued into the early part of the last century with the work of Hadamard, Rankine, and Hugoniot. After WWII, research into nonlinear propagation of dispersive waves rapidly accelerated with the advent of computers. Works of particular importance in the immediate post-war years include those of von Neumann, Fermi, and Lax. Later, additional contributions were made by Lighthill, Glimm, Strauss, Wendroff, and Bishop. Dispersion alone leads to shock fronts of the propagating waves. That the nonlinearity can com­ pensate for the dispersion, leading to propagation with a stable wave having constant velocity and shape (solitons) came as a surprise. A solitary wave was first discussed by J. Scott Russell in 1845 in "Report of British Asso­ ciations for the Advancement of Science. " He had, while horseback riding, observed a solitary wave travelling along a water channel and followed its unbroken progress for over a mile.

Table of contents (7 chapters)

  • Elastic Surface Waves, Resonances, and Inverse Acoustic Scattering

    Guran, Ardéshir (et al.)

    Pages 1-33

  • Amplitude Equation Models for the Interaction of Shocks with Nonlinear Dispersive Wave Envelopes

    Newton, P. K. (et al.)

    Pages 35-74

  • Some Aspects of One-Dimensional Finite Amplitude Elastic Wave Propagation

    Haddow, J. B. (et al.)

    Pages 75-116

  • Nonlinear Duality Between Elastic Waves and Quasi-particles

    Maugin, G. A. (et al.)

    Pages 117-160

  • Time-Harmonic Waves in Pre-Stressed Dissipative Materials

    Morro, Angelo

    Pages 161-202

Buy this book

eBook $109.00
price for USA (gross)
  • ISBN 978-1-4612-0095-6
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $179.00
price for USA
  • ISBN 978-0-8176-4059-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $149.00
price for USA
  • ISBN 978-1-4612-6609-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Selected Topics in Nonlinear Wave Mechanics
Editors
  • C.I. Christov
  • Arde Guran
Copyright
2002
Publisher
Birkhäuser Basel
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4612-0095-6
DOI
10.1007/978-1-4612-0095-6
Hardcover ISBN
978-0-8176-4059-0
Softcover ISBN
978-1-4612-6609-9
Edition Number
1
Number of Pages
XIII, 263
Topics