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Rogue waves in integrable systems

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Rogue waves in integrable systems/ by Bo Yang, Jianke Yang.
Author:	Yang, Bo.
other author:	Yang, Jianke.
Published:	Cham :Springer International Publishing : : 2024.,
Description:	xi, 416 p. :ill., digital ; : 24 cm.;
Contained By:	Springer Nature eBook
Subject:	Integral equations. -
Online resource:	https://doi.org/10.1007/978-3-031-66793-0
ISBN:	9783031667930

Rogue waves in integrable systems
Yang, Bo.

Rogue waves in integrable systems[electronic resource] /by Bo Yang, Jianke Yang. - Cham :Springer International Publishing :2024. - xi, 416 p. :ill., digital ;24 cm.

Chapter 1. Physical derivation of integrable nonlinear wave equations -- Chapter 2. Rogue waves in integrable systems -- Chapter 3. Rogue wave patterns -- Chapter 4. Experiments on rogue waves -- Chapter 5. Related topics.

This book offers a holistic picture of rogue waves in integrable systems. Rogue waves are a rare but extreme phenomenon that occur most famously in water, but also in other diverse contexts such as plasmas, optical fibers and Bose-Einstein condensates where, despite the seemingly disparate settings, a common theoretical basis exists. This book presents the physical derivations of the underlying integrable nonlinear partial differential equations, derives the explicit and compact rogue wave solutions in these integrable systems, and analyzes rogue wave patterns that arise in these solutions, for many integrable systems and in multiple physical contexts. Striking a balance between theory and experiment, the book also surveys recent experimental insights into rogue waves in water, optical fibers, plasma, and Bose-Einstein condensates. In taking integrable nonlinear wave systems as a starting point, this book will be of interest to a broad cross section of researchers and graduate students in physics and applied mathematics who encounter nonlinear waves.

ISBN: 9783031667930

Standard No.: 10.1007/978-3-031-66793-0doiSubjects--Topical Terms:

527971
Integral equations.

LC Class. No.: QA431

Dewey Class. No.: 515.45

Rogue waves in integrable systems
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505 0 $a Chapter 1. Physical derivation of integrable nonlinear wave equations -- Chapter 2. Rogue waves in integrable systems -- Chapter 3. Rogue wave patterns -- Chapter 4. Experiments on rogue waves -- Chapter 5. Related topics.
520 $a This book offers a holistic picture of rogue waves in integrable systems. Rogue waves are a rare but extreme phenomenon that occur most famously in water, but also in other diverse contexts such as plasmas, optical fibers and Bose-Einstein condensates where, despite the seemingly disparate settings, a common theoretical basis exists. This book presents the physical derivations of the underlying integrable nonlinear partial differential equations, derives the explicit and compact rogue wave solutions in these integrable systems, and analyzes rogue wave patterns that arise in these solutions, for many integrable systems and in multiple physical contexts. Striking a balance between theory and experiment, the book also surveys recent experimental insights into rogue waves in water, optical fibers, plasma, and Bose-Einstein condensates. In taking integrable nonlinear wave systems as a starting point, this book will be of interest to a broad cross section of researchers and graduate students in physics and applied mathematics who encounter nonlinear waves.
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650 1 4 $a Mathematical Physics. $3 786661
650 2 4 $a Differential Equations. $3 681826
650 2 4 $a Fiber Optics. $3 1397261
650 2 4 $a Continuum Mechanics. $3 1366663
650 2 4 $a Quantum Gases and Condensates. $3 783348
650 2 4 $a Waves, instabilities and nonlinear plasma dynamics. $3 1388880
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