Rogue and Shock Waves in Nonlinear Dispersive Media

Miguel Onorato, Stefania Resitori, Fabio Baronio

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English

Springer International Publishing AG
20 September 2016

Non-linear science; Fluid mechanics; Wave mechanics (vibration & acoustics); Geophysics

Series: Lecture Notes in Physics

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 referenceguide for a new generation of scientists working on rogue and shock wave phenomena across a broad range of fields in applied physics and geophysics.

Edited by: Miguel Onorato, Stefania Resitori, Fabio Baronio
Imprint: Springer International Publishing AG
Country of Publication: Switzerland
Edition: 1st ed. 2016
Volume: 926
Dimensions: Height: 235mm, Width: 155mm, Spine: 20mm
Weight: 5.796kg
ISBN: 9783319392127
ISBN 10: 3319392123
Series: Lecture Notes in Physics
Pages: 370
Publication Date: 20 September 2016
Audience: Professional and scholarly , College/higher education , Undergraduate , Further / Higher Education
Format: Paperback
Publisher's Status: Active

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.