Rogue and Shock Waves in Nonlinear Dispersive Media

• Corporate Author: SpringerLink (Online service)
• Other Authors: Onorato, Miguel (Editor), Resitori, Stefania (Editor), Baronio, Fabio (Editor)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2016.
• Series: Lecture Notes in Physics, 926
• Subjects: Physics.; Geophysics.; Fluids.; Applications of Nonlinear Dynamics and Chaos Theory.; Geophysics/Geodesy.; Optics, Lasers, Photonics, Optical Devices.; Fluid- and Aerodynamics.; Geophysics and Environmental 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...

Table of 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.