Nonlinear Periodic Waves And Their Modulations An Introductory Course is popular PDF and ePub book, written by Anatoly M Kamchatnov in 2000-09-05, it is a fantastic choice for those who relish reading online the Science genre. Let's immerse ourselves in this engaging Science book by exploring the summary and details provided below. Remember, Nonlinear Periodic Waves And Their Modulations An Introductory Course can be Read Online from any device for your convenience.
Nonlinear Periodic Waves And Their Modulations An Introductory Course Book PDF Summary
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.
Detail Book of Nonlinear Periodic Waves And Their Modulations An Introductory Course PDF
- Author : Anatoly M Kamchatnov
- Release : 05 September 2000
- Publisher : World Scientific
- ISBN : 9789814492430
- Genre : Science
- Total Page : 399 pages
- Language : English
- PDF File Size : 20,8 Mb
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