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Rogue and shock waves in nonlinear dispersive media / Miguel Onorato, Stefania Resitori, Fabio Baronio, editors.

Contributor(s): Material type: TextTextSeries: Lecture notes in physics ; 926.Publisher: Switzerland : Springer, 2016Description: 1 online resource (xiii, 370 pages) : illustrations (some color)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9783319392141
  • 331939214X
Subject(s): Additional physical formats: Print version:: Rogue and shock waves in nonlinear dispersive media.DDC classification:
  • 551.46/3 23
LOC classification:
  • GC227
Online resources:
Contents:
Rogue and shock waves: an introduction -- Nonlinearity and dispersion in hydrodynamics and optical waves -- Breathers in nonlinear dispersive media -- Generation of breathers in the laboratory -- Statistical theory of rogue waves -- Mathematical methods for finding rogue waves solutions -- Dispersive shock waves: theoretical aspects -- Dispersive shock waves in optics and in the ocean.
Summary: 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.
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Rogue and shock waves: an introduction -- Nonlinearity and dispersion in hydrodynamics and optical waves -- Breathers in nonlinear dispersive media -- Generation of breathers in the laboratory -- Statistical theory of rogue waves -- Mathematical methods for finding rogue waves solutions -- Dispersive shock waves: theoretical aspects -- Dispersive shock waves in optics and in the ocean.

Includes bibliographical references.

Online resource; title from PDF title page (SpringerLink, viewed October 5, 2016).

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.

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