03448nam a22006015i 4500 978-3-031-66793-0 DE-He213 20251030113238.0 cr nn 008mamaa 241022s2024 sz | s |||| 0|eng d 9783031667930 978-3-031-66793-0 10.1007/978-3-031-66793-0 doi QC19.2-20.85 PHU bicssc SCI040000 bisacsh PHU thema Yang, Bo. author. aut http://id.loc.gov/vocabulary/relators/aut 86384 Rogue Waves in Integrable Systems [electronic resource] / by Bo Yang, Jianke Yang. 1st ed. 2024. Cham : Springer International Publishing : Imprint: Springer, 2024. XI, 416 p. 102 illus., 99 illus. in color. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda 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. Mathematical physics. Differential equations. Fiber optics. 69136 Continuum mechanics. Quantum statistics. 75355 Plasma waves. 69749 Mathematical Physics. Differential Equations. Fiber Optics. 69136 Continuum Mechanics. Quantum Gases and Condensates. 76499 Waves, instabilities and nonlinear plasma dynamics. 69750 Yang, Jianke. author. aut http://id.loc.gov/vocabulary/relators/aut 86385 SpringerLink (Online service) Springer Nature eBook Printed edition: 9783031667923 Printed edition: 9783031667947 Printed edition: 9783031667954 https://doi.org/10.1007/978-3-031-66793-0 ZDB-2-PHA ZDB-2-SXP 64377 64377