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Nonlinear Waves in Integrable and Nonintegrable Systems

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Release : 2010-01-01
Genre : Science
Kind : eBook
Book Rating : 682/5 ( reviews)

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Book Synopsis Nonlinear Waves in Integrable and Nonintegrable Systems by : Jianke Yang

Download or read book Nonlinear Waves in Integrable and Nonintegrable Systems written by Jianke Yang. This book was released on 2010-01-01. Available in PDF, EPUB and Kindle. Book excerpt: Presents cutting-edge developments in the theory and experiments of nonlinear waves. Its comprehensive coverage of analytical and numerical methods for nonintegrable systems is the first of its kind.

Nonlinear Waves

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Release : 1983-12-30
Genre : Mathematics
Kind : eBook
Book Rating : 687/5 ( reviews)

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Book Synopsis Nonlinear Waves by : Lokenath Debnath

Download or read book Nonlinear Waves written by Lokenath Debnath. This book was released on 1983-12-30. Available in PDF, EPUB and Kindle. Book excerpt: The outcome of a conference held in East Carolina University in June 1982, this book provides an account of developments in the theory and application of nonlinear waves in both fluids and plasmas. Twenty-two contributors from eight countries here cover all the main fields of research, including nonlinear water waves, K-dV equations, solitions and inverse scattering transforms, stability of solitary waves, resonant wave interactions, nonlinear evolution equations, nonlinear wave phenomena in plasmas, recurrence phenomena in nonlinear wave systems, and the structure and dynamics of envelope solitions in plasmas.

Classical and Quantum Nonlinear Integrable Systems

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Release : 2019-04-23
Genre : Science
Kind : eBook
Book Rating : 615/5 ( reviews)

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Book Synopsis Classical and Quantum Nonlinear Integrable Systems by : A Kundu

Download or read book Classical and Quantum Nonlinear Integrable Systems written by A Kundu. This book was released on 2019-04-23. Available in PDF, EPUB and Kindle. Book excerpt: Covering both classical and quantum models, nonlinear integrable systems are of considerable theoretical and practical interest, with applications over a wide range of topics, including water waves, pin models, nonlinear optics, correlated electron systems, plasma physics, and reaction-diffusion processes. Comprising one part on classical theories

Rogue Waves in Integrable Systems

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Release : 2024-10-19
Genre : Science
Kind : eBook
Book Rating : 923/5 ( reviews)

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Book Synopsis Rogue Waves in Integrable Systems by : Bo Yang

Download or read book Rogue Waves in Integrable Systems written by Bo Yang. This book was released on 2024-10-19. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Nonlinear Waves in Elastic Crystals

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Release : 1999
Genre : Mathematics
Kind : eBook
Book Rating : 846/5 ( reviews)

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Book Synopsis Nonlinear Waves in Elastic Crystals by : Gérard A. Maugin

Download or read book Nonlinear Waves in Elastic Crystals written by Gérard A. Maugin. This book was released on 1999. Available in PDF, EPUB and Kindle. Book excerpt: The mathematical modelling of changing structures in materials is of increasing importance to industry where applications of the theory are found in subjects as diverse as aerospace and medicine. This book deals with aspects of the nonlinear dynamics of deformable ordered solids (known as elastic crystals) where the nonlinear effects combine or compete with each other. Physical and mathematical models are discused and computational aspects are also included. Different models are considered - on discrete as well as continuum scales - applying heat, electricity, or magnetism to the crystal structure and these are analysed using the equations of rational mechanics. Students are introduced to the important equations of nonlinear science that describe shock waves, solitons and chaos and also the non-exactly integrable systems or partial differential equations. A large number of problems and examples are included, many taken from recent research and involving both one-dimensional and two-dimensional problems as well as some coupled degress of freedom.

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