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Rogue and Shock Waves in Nonlinear Dispersive Media

Rogue and Shock Waves in Nonlinear Dispersive Media
Author: Miguel Onorato
Publisher: Springer
Total Pages: 376
Release: 2016-09-19
Genre: Science
ISBN: 331939214X

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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.


Nonlinear Dispersive Waves

Nonlinear Dispersive Waves
Author: David Henry
Publisher: Springer Nature
Total Pages: 288
Release:
Genre:
ISBN: 3031635124

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Nonlinear Systems and Their Remarkable Mathematical Structures

Nonlinear Systems and Their Remarkable Mathematical Structures
Author: Norbert Euler
Publisher: CRC Press
Total Pages: 367
Release: 2021-09-07
Genre: Mathematics
ISBN: 1000423301

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The third volume in this sequence of books consists of a collection of contributions that aims to describe the recent progress in nonlinear differential equations and nonlinear dynamical systems (both continuous and discrete). Nonlinear Systems and Their Remarkable Mathematical Structures: Volume 3, Contributions from China just like the first two volumes, consists of contributions by world-leading experts in the subject of nonlinear systems, but in this instance only featuring contributions by leading Chinese scientists who also work in China (in some cases in collaboration with western scientists). Features Clearly illustrate the mathematical theories of nonlinear systems and its progress to both the non-expert and active researchers in this area Suitable for graduate students in Mathematics, Applied Mathematics and some of the Engineering sciences Written in a careful pedagogical manner by those experts who have been involved in the research themselves, and each contribution is reasonably self-contained


Guided-Wave Optics

Guided-Wave Optics
Author: Boris Malomed
Publisher: MDPI
Total Pages: 323
Release: 2018-03-23
Genre: Science
ISBN: 3038426148

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This book is a printed edition of the Special Issue "Guided-Wave Optics" that was published in Applied Sciences


Advances in Nonlinear Photonics

Advances in Nonlinear Photonics
Author: Giancarlo C. Righini
Publisher: Elsevier
Total Pages: 564
Release: 2023-05-03
Genre: Science
ISBN: 0323985807

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Advances in Nonlinear Photonics combines fundamental principles with an overview of the latest developments. The book is suitable for the multidisciplinary audience of photonics researchers and practitioners in academia and R&D, including materials scientists and engineers, applied physicists, chemists, etc. As nonlinear phenomena are at the core of photonic devices and may enable future applications such as all-optical switching, all-optical signal processing and quantum photonics, this book provides an overview of key concepts. In addition, the book reviews the most important advances in the field and how nonlinear processes may be exploited in different photonic applications. Introduces fundamental principles of nonlinear phenomena and their application in materials and devices Reviews and provides definitions of the latest research directions in the field of nonlinear photonics Discusses the most important developments in materials and applications, including future prospects


Non-Linear Waves in Dispersive Media

Non-Linear Waves in Dispersive Media
Author: V. I. Karpman
Publisher: Elsevier
Total Pages: 199
Release: 2016-01-22
Genre: Science
ISBN: 1483187152

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Non-Linear Waves in Dispersive Media introduces the theory behind such topic as the gravitational waves on water surfaces. Some limiting cases of the theory, wherein proof of an asymptotic class is necessary and generated, are also provided. The first section of the book discusses the notion of linear approximation. This discussion is followed by some samples of dispersive media. Examples of stationary waves are also examined. The book proceeds with a discussion of waves of envelopes. The concept behind this subject is from the application of the methods of geometrical optics to non-linear theory. A section on non-linear waves with slowly varying parameters is given at the end of the book, along with a discussion of the evolution of electro-acoustic waves in plasma with negative dielectric permittivity. The gravitational waves on fluid surfaces are presented completely. The text will provide valuable information for physicists, mechanical engineers, students, and researchers in the field of optics, acoustics, and hydrodynamics.


Recent Developments in Integrable Systems and Related Topics of Mathematical Physics

Recent Developments in Integrable Systems and Related Topics of Mathematical Physics
Author: Victor M. Buchstaber
Publisher: Springer
Total Pages: 216
Release: 2018-12-30
Genre: Science
ISBN: 3030048071

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This volume, whose contributors include leading researchers in their field, covers a wide range of topics surrounding Integrable Systems, from theoretical developments to applications. Comprising a unique collection of research articles and surveys, the book aims to serve as a bridge between the various areas of Mathematics related to Integrable Systems and Mathematical Physics. Recommended for postgraduate students and early career researchers who aim to acquire knowledge in this area in preparation for further research, this book is also suitable for established researchers aiming to get up to speed with recent developments in the area, and may very well be used as a guide for further study.


Ocean Wave Dynamics

Ocean Wave Dynamics
Author: Ian Young
Publisher: World Scientific
Total Pages: 396
Release: 2020-03-20
Genre: Science
ISBN: 9811208689

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Ocean Wave Dynamics is the most up-to-date book of its kind on the three main processes responsible for the generation and evolution of ocean waves: (i) atmospheric input from the wind, (ii) wave breaking and (iii) nonlinear interactions.Ocean waves are important for many reasons. They are the major environmental impact on in the design of coastal or offshore structures. Ocean waves are also fundamental to the processes of coastal flooding and beach erosion. They will play a major role in storm related coastal flooding which will rise in frequency as a result of sea level rise. Ocean waves are also an important part of the coupled ocean-atmosphere system. They determine the roughness of the ocean surface and hence have an impact on winds, fluxes of energy, gases and heat to the ocean and even the stability of ice sheets.Containing the latest research on ocean waves, it is a valuable resource for an overview of knowledge in this important field.Related Link(s)


Complexity in Biological and Physical Systems

Complexity in Biological and Physical Systems
Author: Ricardo Lopez-Ruiz
Publisher: BoD – Books on Demand
Total Pages: 204
Release: 2018-05-02
Genre: Mathematics
ISBN: 1789230500

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Modeling and simulating biological and physical systems are nowadays active branches of science. The diversity and complexity of behaviors and patterns present in the natural world have their reciprocity in life systems. Bifurcations, solitons and fractals are some of these ubiquitous structures that can be indistinctively identified in many models with the most diverse applications, from microtubules with an essential role in the maintenance and the shaping of cells, to the nano/microscale structure in disordered systems determined with small-angle scattering techniques. This book collects several works in this direction, giving an overview of some models and theories, which are useful for the study and analysis of complex biological and physical systems. It can provide a good guidance for physicists with interest in biology, applied research scientists and postgraduate students.