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Author : Björn Sandstede
Release : 2023
Genre :
Kind : eBook
Book Rating : 836/5 ( reviews)
Book Synopsis Spiral Waves: Linear and Nonlinear Theory by : Björn Sandstede
Download or read book Spiral Waves: Linear and Nonlinear Theory written by Björn Sandstede. This book was released on 2023. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Björn Sandstede
Release : 2023-05-23
Genre : Mathematics
Kind : eBook
Book Rating : 091/5 ( reviews)
Book Synopsis Spiral Waves: Linear and Nonlinear Theory by : Björn Sandstede
Download or read book Spiral Waves: Linear and Nonlinear Theory written by Björn Sandstede. This book was released on 2023-05-23. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.
Author : G. B. Whitham
Release : 2011-10-18
Genre : Science
Kind : eBook
Book Rating : 202/5 ( reviews)
Book Synopsis Linear and Nonlinear Waves by : G. B. Whitham
Download or read book Linear and Nonlinear Waves written by G. B. Whitham. This book was released on 2011-10-18. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Jüri Engelbrecht
Release : 2012-12-06
Genre : Science
Kind : eBook
Book Rating : 892/5 ( reviews)
Book Synopsis Nonlinear Waves in Active Media by : Jüri Engelbrecht
Download or read book Nonlinear Waves in Active Media written by Jüri Engelbrecht. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: TIlis volume contains the contributions to the Euromech Colloquium No. 241 on Nonlinear Waves in Active Media at the Institute of Cybernetics of the Estonian Academy of Sciences, Tallinn, Estonia, USSR, September 27-30, 1988. The Co-chairmen of the Euromech Colloquium felt that it would be a good service to the community to publish these proceedings. First, the topic itself dealing with various wave processes with energy influx is extremely interesting and attracted a much larger number of participants than usual - a clear sign of its importance to the scientific community. Second, Euromech No. 241 was actually the first Euromech Colloquium held in the Soviet Union and could thus be viewed as a milestone in the extending scientific contacts between East and West. At the colloquium 50 researchers working in very different branches of sci ence met to lecture on their results and to discuss problems of common interest. An introductory paper by I. Engelbrecht presents the common motivation and background of the topics covered. Altogether 36 speakers presented their lectures, of which 30 are gathered here. The remaining six papers which will appear elsewhere are listed on page X. In addition, three contributions by authors who could not attend the colloquium are included. The two lectures given by A.S. Mikhailov, V.S. Davydov and V.S. Zykov are here published as one long paper.
Author : Anatoli? Mikha?lovich Kamchatnov
Release : 2000
Genre : Science
Kind : eBook
Book Rating : 07X/5 ( reviews)
Book Synopsis Nonlinear Periodic Waves and Their Modulations by : Anatoli? Mikha?lovich Kamchatnov
Download or read book Nonlinear Periodic Waves and Their Modulations written by Anatoli? Mikha?lovich Kamchatnov. This book was released on 2000. Available in PDF, EPUB and Kindle. Book excerpt: Although the mathematical theory of nonlinear waves and solitons has made great progress, its applications to concrete physical problems are rather poor, especially when compared with the classical theory of linear dispersive waves and nonlinear fluid motion. The Whitham method, which describes the combining action of the dispersive and nonlinear effects as modulations of periodic waves, is not widely used by applied mathematicians and physicists, though it provides a direct and natural way to treat various problems in nonlinear wave theory. Therefore it is topical to describe recent developments of the Whitham theory in a clear and simple form suitable for applications in various branches of physics.This book develops the techniques of the theory of nonlinear periodic waves at elementary level and in great pedagogical detail. It provides an introduction to a Whitham's theory of modulation in a form suitable for applications. The exposition is based on a thorough analysis of representative examples taken from fluid mechanics, nonlinear optics and plasma physics rather than on the formulation and study of a mathematical theory. Much attention is paid to physical motivations of the mathematical methods developed in the book. The main applications considered include the theory of collisionless shock waves in dispersive systems and the nonlinear theory of soliton formation in modulationally unstable systems. Exercises are provided to amplify the discussion of important topics such as singular perturbation theory, Riemann invariants, the finite gap integration method, and Whitham equations and their solutions.
