Nonlinear Random Waves in a Dispersive Medium PDF Download
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Author: Alan C. Newell
Publisher:
ISBN:
Category :
Languages : en
Pages : 40
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Author: Alan C. Newell
Publisher:
ISBN:
Category :
Languages : en
Pages : 40
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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: 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: Sir Thomas Havelock
Publisher:
ISBN:
Category : Mathematical physics
Languages : en
Pages : 100
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Book Description
The present tract deals with the manner in which a limited initial disturbance spreads out into a dispersive medium and with allied problems - p. 1.
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: S. Fauve
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Book Description
Author: John Baptist Tet-Choi Thoo
Publisher:
ISBN:
Category : Applied mathematics
Languages : en
Pages : 360
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Author: V. I. Karpman
Publisher: Elsevier
ISBN: 1483187152
Category : Science
Languages : en
Pages : 199
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Book Description
Non-Linear Waves in Dispersive Media introduces the theory behind such topic as the gravitational waves on water surfaces. Some limiting cases of the theory, wherein proof of an asymptotic class is necessary and generated, are also provided. The first section of the book discusses the notion of linear approximation. This discussion is followed by some samples of dispersive media. Examples of stationary waves are also examined. The book proceeds with a discussion of waves of envelopes. The concept behind this subject is from the application of the methods of geometrical optics to non-linear theory. A section on non-linear waves with slowly varying parameters is given at the end of the book, along with a discussion of the evolution of electro-acoustic waves in plasma with negative dielectric permittivity. The gravitational waves on fluid surfaces are presented completely. The text will provide valuable information for physicists, mechanical engineers, students, and researchers in the field of optics, acoustics, and hydrodynamics.
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: S. N. Gurbatov
Publisher:
ISBN:
Category : Nonlinear waves
Languages : en
Pages : 308
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Book Description
