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Rogue and Shock Waves in Nonlinear Dispersive Media

  • Miguel Onorato
  • Stefania Resitori
  • Fabio Baronio

Part of the Lecture Notes in Physics book series (LNP, volume 926)

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Miguel Onorato, Fabio Baronio, Matteo Conforti, Amin Chabchoub, Pierre Suret, Stephane Randoux
    Pages 1-22
  3. Antonio Degasperis, Sara Lombardo
    Pages 23-53
  4. Amin Chabchoub, Miguel Onorato, Nail Akhmediev
    Pages 55-87
  5. Bertrand Kibler, Julien Fatome, Christophe Finot, Guy Millot
    Pages 89-115
  6. Peter A. E. M. Janssen
    Pages 117-157
  7. Sergei Y. Annenkov, Victor I. Shrira
    Pages 159-178
  8. Antonio Picozzi, Josselin Garnier, Gang Xu, Sergio Rica
    Pages 205-276
  9. Stéphane Randoux, Pierre Suret
    Pages 277-307
  10. Matteo Conforti, Stefano Trillo
    Pages 337-367
  11. Back Matter
    Pages 369-370

About this book

Introduction

This self-contained set of lectures addresses a gap in the literature by providing a systematic link between the theoretical foundations of the subject matter and cutting-edge applications in both geophysical fluid dynamics and nonlinear optics.

Rogue and shock waves are phenomena that may occur in the propagation of waves in any nonlinear dispersive medium. Accordingly, they have been observed in disparate settings – as ocean waves, in nonlinear optics, in Bose-Einstein condensates, and in plasmas. Rogue and dispersive shock waves are both characterized by the development of extremes: for the former, the wave amplitude becomes unusually large, while for the latter, gradients reach extreme values. Both aspects strongly influence the statistical properties of the wave propagation and are thus considered together here in terms of their underlying theoretical treatment.

This book offers a self-contained graduate-level text intended as both an introduction and reference guide for a new generation of scientists working on rogue and shock wave phenomena across a broad range of fields in applied physics and geophysics.

Keywords

Breathers and solitons Dispersive shock waves in the ocean Extreme ocean waves Nonlinear wave dynamics Rogue waves solutions Rogue waves textbook Statistical mechanics of wave propagation Statistical theory of rogue waves Wave turbulence

Editors and affiliations

  • Miguel Onorato
    • 1
  • Stefania Resitori
    • 2
  • Fabio Baronio
    • 3
  1. 1.Dipartimento di FisicaUniversità di TorinoTorinoItaly
  2. 2.Institut Non Linéaire de Nice, Centre National de la Recherche Scientifique, CNRSUniversité de Nice-Sophia AntipolisValbonneFrance
  3. 3.Dipartimento di Ingegneria dell' InformazioneUniversità di BresciaBresciaItaly

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-39214-1
  • Copyright Information Springer International Publishing Switzerland 2016
  • Publisher Name Springer, Cham
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-319-39212-7
  • Online ISBN 978-3-319-39214-1
  • Series Print ISSN 0075-8450
  • Series Online ISSN 1616-6361
  • Buy this book on publisher's site
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