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Author: Yong Jun Cho
Publisher:
ISBN:
Category :
Languages : en
Pages : 158
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Author: Yong Jun Cho
Publisher:
ISBN:
Category :
Languages : en
Pages : 158
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Book Description
Author: С. Н Гурбатов
Publisher: Manchester University Press
ISBN: 9780719032752
Category : Nonlinear theories
Languages : ru
Pages : 334
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Book Description
Author: Vladimir V. Konotop
Publisher: World Scientific
ISBN: 9789810217259
Category : Science
Languages : en
Pages : 312
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Book Description
This book is mainly devoted to the dynamics of the one-dimensional nonlinear stochastic waves. It contains a description of the basic mathematical tools as well as the latest results in the following fields: exactly integrable nonlinear stochastic equations, dynamics of the nonlinear waves in random media, evolution of the random waves in nonlinear media and the basic concepts of the numerical simulations in nonlinear random wave dynamics. A brief outline of the localization phenomenon in the nonlinear medium is also given. The approach is interdisciplinary describing the general methods with application to specific examples. The results presented may be useful for those who work in the areas of solid state physics, hydrodynamics, nonlinear optics, plasma physics, mathematical models of micromolecules and biological structures, ?etc. Since many results are based on the inverse scattering technique, perturbation theory for solitons and the methods of the statistical radiophysics, the terminology of the respective fields is used.
Author: Vladimir V Konotop
Publisher: World Scientific
ISBN: 9814502154
Category : Science
Languages : en
Pages : 309
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Book Description
This book is mainly devoted to the dynamics of the one-dimensional nonlinear stochastic waves. It contains a description of the basic mathematical tools as well as the latest results in the following fields: exactly integrable nonlinear stochastic equations, dynamics of the nonlinear waves in random media, evolution of the random waves in nonlinear media and the basic concepts of the numerical simulations in nonlinear random wave dynamics. A brief outline of the localization phenomenon in the nonlinear medium is also given. The approach is interdisciplinary describing the general methods with application to specific examples. The results presented may be useful for those who work in the areas of solid state physics, hydrodynamics, nonlinear optics, plasma physics, mathematical models of micromolecules and biological structures, …etc. Since many results are based on the inverse scattering technique, perturbation theory for solitons and the methods of the statistical radiophysics, the terminology of the respective fields is used.
Author: Alok K. Jha
Publisher:
ISBN:
Category :
Languages : en
Pages : 88
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Book Description
Second-order nonlinear models have been increasingly used in recent years model nonlinear processes in offshore engineering. We develop convenient analytic formulae to predict the nonlinearities in waves and to predict the crest height distribution in a specified wave condition. We apply such models to study the properties of random ocean waves. These include measured waves both in wave tanks and in field. Statistics comparison between model and measurements include: moment comparisons, comparison of distributions of wave elevations, crest heights, wave heights, and conditional distributions of local wave parameters, for example, crest height given wave heights, wave periods given crest heights, among others. We find the second-order model predictions to agree quite closely with the field measurements, while the wave tank statistics seem to be underpredicted by the second-order model. Finally, we solve the inverse problem, in which we identify the underlying first-order wave components, which when run through the second-order wave predictor matches the measured wave histories time point by time point.
Author: Sergey Nikolaevich Gurbatov
Publisher: Springer Science & Business Media
ISBN: 3642236170
Category : Science
Languages : en
Pages : 477
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Book Description
"Waves and Structures in Nonlinear Nondispersive Media: General Theory and Applications to Nonlinear Acoustics” is devoted completely to nonlinear structures. The general theory is given here in parallel with mathematical models. Many concrete examples illustrate the general analysis of Part I. Part II is devoted to applications to nonlinear acoustics, including specific nonlinear models and exact solutions, physical mechanisms of nonlinearity, sawtooth-shaped wave propagation, self-action phenomena, nonlinear resonances and engineering application (medicine, nondestructive testing, geophysics, etc.). This book is designed for graduate and postgraduate students studying the theory of nonlinear waves of various physical nature. It may also be useful as a handbook for engineers and researchers who encounter the necessity of taking nonlinear wave effects into account of their work. Dr. Gurbatov S.N. is the head of Department, and Vice Rector for Research of Nizhny Novgorod State University. Dr. Rudenko O.V. is the Full member of Russian Academy of Sciences, the head of Department at Moscow University and Professor at BTH (Sweden). Dr. Saichev A.I. is the Professor at the Faculty of Radiophysics of Nizhny Novgorod State University, Professor of ETH Zürich.
Author: Ulla E. B. Machado
Publisher:
ISBN:
Category :
Languages : en
Pages : 25
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Author: Miguel Onorato
Publisher: Springer
ISBN: 331939214X
Category : Science
Languages : en
Pages : 376
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Book Description
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.
Author: Vladimir Evgenʹevich Zakharov
Publisher: American Mathematical Soc.
ISBN: 9780821841136
Category : Hamiltonian systems
Languages : en
Pages : 212
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Book Description
This book is a collection of papers on dynamical and statistical theory of nonlinear wave propagation in dispersive conservative media. Emphasis is on waves on the surface of an ideal fluid and on Rossby waves in the atmosphere. Although the book deals mainly with weakly nonlinear waves, it is more than simply a description of standard perturbation techniques. The goal is to show that the theory of weakly interacting waves is naturally related to such areas of mathematics as Diophantine equations, differential geometry of waves, Poincare normal forms and the inverse scattering method.
Author: Legena Henry
Publisher:
ISBN: 9783846530023
Category :
Languages : en
Pages : 304
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Book Description
