Nonlinear periodic waves and their modulations an introductory course

Includes bibliographical references (p. 373-380) and index; 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 e...

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Tác giả chính: Kamchatnov, A. M
Định dạng: Sách
Ngôn ngữ:Undetermined
Được phát hành: Singapore World Scientific 2000
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Truy cập trực tuyến:http://lrc.tdmu.edu.vn/opac/search/detail.asp?aID=2&ID=33017
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LEADER 01673nam a2200217Ia 4500
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082 |a 370 
090 |b K104 
100 |a Kamchatnov, A. M 
245 0 |a Nonlinear periodic waves and their modulations 
245 3 |b an introductory course 
245 0 |c A.M. Kamchatnov 
260 |a Singapore 
260 |b World Scientific 
260 |c 2000 
300 |a xiv, 383 p. 
520 |a Includes bibliographical references (p. 373-380) and index; 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. 
650 |a Nonlinear waves; Solitons; Wave-motion, Theory of; Sóng phi tuyến 
856 |u http://lrc.tdmu.edu.vn/opac/search/detail.asp?aID=2&ID=33017 
980 |a Trung tâm Học liệu Trường Đại học Thủ Dầu Một