Nonlinear Waves and Pattern Dynamics

  • Nizar Abcha
  • Efim Pelinovsky
  • Innocent Mutabazi

Table of contents

  1. Front Matter
    Pages i-xvii
  2. Nonlinear Water Waves and Applications

    1. Front Matter
      Pages 1-1
    2. Angel Durán, Denys Dutykh, Dimitrios Mitsotakis
      Pages 3-43
    3. Nizar Abcha, Efim Pelinovsky, Ira Didenkulova
      Pages 45-61
    4. Alexey Slunyaev, Alexander Ezersky, Dominique Mouaze, Wuttersack Chokchai
      Pages 63-75
    5. Germain Rousseaux, Yury Stepanyants
      Pages 91-101
    6. O. A. Druzhinin, D. A. Sergeev, Yu I. Troitskaya, W.-T. Tsai, M. Vdovin
      Pages 103-112
    7. François Marin, Armelle Jarno
      Pages 113-126
    8. Gautier Verhille, Patrice Le Gal
      Pages 127-136
  3. Patterns in Nonequilibrium Media

    1. Front Matter
      Pages 137-137
    2. Mikhail Rabinovich, Patrick Weidman
      Pages 139-158
    3. L. A. Smirnov, G. V. Osipov, A. Pikovsky
      Pages 159-180
    4. Nizar Abcha, Fayçal Kelai, Noureddine Latrache, Olivier Crumeyrolle, Innocent Mutabazi
      Pages 181-196
    5. Pierre Paranthoën, Jean-Claude Lecordier
      Pages 197-219
    6. Vladimir Chernov, Alexander Ezersky
      Pages 221-229

About this book


This book addresses the fascinating phenomena associated with nonlinear waves and spatio-temporal patterns. These appear almost everywhere in nature from sand bed forms to brain patterns, and yet their understanding still presents fundamental scientific challenges. The reader will learn here, in particular, about the current state-of-the art and new results in:

  • Nonlinear water waves: resonance, solitons, focusing, Bose-Einstein condensation, as well as and their relevance for the sea environment (sea-wind interaction, sand bed forms, fiber clustering)
  • Pattern formation in non-equilibrium media: soap films, chimera patterns in oscillating media, viscoelastic Couette-Taylor flow, flow in the wake behind a heated cylinder, other pattern formation. 

 The editors and authors dedicate this book to the memory of Alexander Ezersky, Professor of Fluid Mechanics at the University of Caen Normandie (France) from September 2007 to July 2016. Before 2007, he had served as a Senior Scientist at the Institute of Applied Physics of the Russian Academy of Sciences in Nizhny Novgorod (Russia). The chapters have been written by leading scientists in Nonlinear Physics, and the topics chosen so as to cover all the fields to which Prof. Ezersky himself contributed, by means of experimental, theoretical and numerical approaches.

 The volume will appeal to advanced students and researchers studying nonlinear waves and pattern  dynamics, as well as other scientists interested in their applications in various natural media. 


spatio-temporal patterns Memorial to Alexander Ezersky physics of fluids Vortices and vortex sheets Reaction-diffusion systems Visco-elastic flow Critical mode instability Sandbed formation

Editors and affiliations

  • Nizar Abcha
    • 1
  • Efim Pelinovsky
    • 2
  • Innocent Mutabazi
    • 3
  1. 1. Normandie Université, UNICAEN, UNIROUEN, CNRS, UMR 6143, M2CCaenFrance
  2. 2.Department of Nonlinear Geophysical ProcessesInstitute of Applied Physics of the Russian Academy of SciencesNizhny NovgorodRussia
  3. 3.Normandie Université, Unihavre, CNRS, UMR 6294, LOMCLe Havre CXFrance

Bibliographic information

  • DOI
  • Copyright Information Springer International Publishing AG, part of Springer Nature 2018
  • Publisher Name Springer, Cham
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-319-78192-1
  • Online ISBN 978-3-319-78193-8
  • Buy this book on publisher's site