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Rogue Waves in Integrable Systems / by Bo Yang, Jianke Yang.

Springer Nature - Springer Physics and Astronomy eBooks 2024 English International Available online

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Format:
Book
Author/Creator:
Yang, Bo.
Contributor:
Yang, Jianke.
Series:
Physics and Astronomy Series
Language:
English
Subjects (All):
Mathematical physics.
Differential equations.
Fiber optics.
Continuum mechanics.
Quantum statistics.
Plasma waves.
Mathematical Physics.
Differential Equations.
Fiber Optics.
Continuum Mechanics.
Quantum Gases and Condensates.
Waves, instabilities and nonlinear plasma dynamics.
Local Subjects:
Mathematical Physics.
Differential Equations.
Fiber Optics.
Continuum Mechanics.
Quantum Gases and Condensates.
Waves, instabilities and nonlinear plasma dynamics.
Physical Description:
1 online resource (424 pages)
Edition:
1st ed. 2024.
Place of Publication:
Cham : Springer International Publishing : Imprint: Springer, 2024.
Summary:
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.
Contents:
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.
Notes:
Description based on publisher supplied metadata and other sources.
ISBN:
3-031-66793-X
OCLC:
1463506001

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