Nonlinear Random Waves
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Nonlinear Random Waves And Turbulence In Nondispersive Media
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Author : С. Н Гурбатов
language : ru
Publisher: Manchester University Press
Release Date : 1991
Nonlinear Random Waves And Turbulence In Nondispersive Media written by С. Н Гурбатов and has been published by Manchester University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Nonlinear theories categories.
Nonlinear Random Waves
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Author : Vladimir V Konotop
language : en
Publisher: World Scientific
Release Date : 1994-07-26
Nonlinear Random Waves written by Vladimir V Konotop and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-07-26 with Science categories.
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. Contents: IntroductionLinear Random Waves. Some Basic ResultsExactly Solvable ModelsDirect Perturbation MethodsFrom Inverse Scattering to Perturbative ApproachDynamical Solitons under Random PerturbationsSine-Gordon Kinks under Random PerturbationsRandom Wave Packets in Nonlinear MediaDynamics of Randomly Modulated SolitonsWaves in Nonlinear Stationary Inhomogeneous MediaNumerical Study of the Single-Particle MotionNumerical Studies: A Panoramic ViewNonlinear Klein-Gordon ModelsSimulations with Dynamical and Envelope Solitons Readership: Researchers, postgraduate and undergraduate students of theoretical physics, applied mathematics and mathematical physics. keywords:Solitons;Perturbation Methods;Random Perturbations;Numerical Methods;Stochastic Simulations;Linear Random Waves;Sine-Gordon Kinks;Korteweg-de Vries Solitons;Nonlinear Schrodinger Solitons;Inverse Scattering
Nonlinear Random Waves
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Author : Vladimir V. Konotop
language : en
Publisher: World Scientific
Release Date : 1994
Nonlinear Random Waves written by Vladimir V. Konotop and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Science categories.
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.
Prediction Of Wave Forces From Nonlinear Random Sea Simulations
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Author : Robert Turner Hudspeth
language : en
Publisher:
Release Date : 1974
Prediction Of Wave Forces From Nonlinear Random Sea Simulations written by Robert Turner Hudspeth and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with Ocean waves categories.
Nonlinear Waves And Offshore Structures
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Author : Cheung Hun Kim
language : en
Publisher: World Scientific Publishing Company
Release Date : 2008-05-02
Nonlinear Waves And Offshore Structures written by Cheung Hun Kim and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-05-02 with Technology & Engineering categories.
The responses of offshore structures are significantly affected by steep nonlinear waves, currents and wind, leading to phenomena such as springing and ringing of TLPs, slow drift yaw motion of FPSOs and large oscillations of Spar platforms due to vortex shedding. Research has brought about significant progress in this field over the past few decades and introduced us to increasingly involved concepts and their diverse applicability. Thus, an in-depth understanding of steep nonlinear waves and their effects on the responses of offshore structures is essential for safe and effective designs.This book deals with analyses of nonlinear problems encountered in the design of offshore structures, as well as those that are of immediate practical interest to ocean engineers and designers. It presents conclusions drawn from recent research pertinent to nonlinear waves and their effects on the responses of offshore structures. Theories, observations and analyses of laboratory and field experiments are expounded such that the nonlinear effects can be clearly visualized.
Nonlinear Waves And Weak Turbulence
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Author : Vladimir Evgenʹevich Zakharov
language : en
Publisher: American Mathematical Soc.
Release Date : 1998
Nonlinear Waves And Weak Turbulence written by Vladimir Evgenʹevich Zakharov and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Hamiltonian systems categories.
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.
Rogue And Shock Waves In Nonlinear Dispersive Media
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Author : Miguel Onorato
language : en
Publisher: Springer
Release Date : 2016-09-19
Rogue And Shock Waves In Nonlinear Dispersive Media written by Miguel Onorato and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-09-19 with Science categories.
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.
Linear And Nonlinear Waves
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Author : G. B. Whitham
language : en
Publisher: John Wiley & Sons
Release Date : 2011-10-18
Linear And Nonlinear Waves written by G. B. Whitham and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-10-18 with Science categories.
Now in an accessible paperback edition, this classic work is just as relevant as when it first appeared in 1974, due to the increased use of nonlinear waves. It covers the behavior of waves in two parts, with the first part addressing hyperbolic waves and the second addressing dispersive waves. The mathematical principles are presented along with examples of specific cases in communications and specific physical fields, including flood waves in rivers, waves in glaciers, traffic flow, sonic booms, blast waves, and ocean waves from storms.
Nonlinear Waves
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Author : Lokenath Debnath
language : en
Publisher: Cambridge University Press
Release Date : 2009-01-08
Nonlinear Waves written by Lokenath Debnath and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-01-08 with Mathematics categories.
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.
Analytical And Numerical Methods For Wave Propagation In Fluid Media
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Author : K. Murawski
language : en
Publisher: World Scientific
Release Date : 2002
Analytical And Numerical Methods For Wave Propagation In Fluid Media written by K. Murawski and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Science categories.
This book surveys analytical and numerical techniques appropriate to the description of fluid motion with an emphasis on the most widely used techniques exhibiting the best performance.Analytical and numerical solutions to hyperbolic systems of wave equations are the primary focus of the book. In addition, many interesting wave phenomena in fluids are considered using examples such as acoustic waves, the emission of air pollutants, magnetohydrodynamic waves in the solar corona, solar wind interaction with the planet venus, and ion-acoustic solitons.