01673nam a2200217Ia 4500 TDMU_33017 210410s9999 xx 000 0 und d 370 K104 Kamchatnov, A. M Nonlinear periodic waves and their modulations an introductory course A.M. Kamchatnov Singapore World Scientific 2000 xiv, 383 p. 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. Nonlinear waves; Solitons; Wave-motion, Theory of; Sóng phi tuyến http://lrc.tdmu.edu.vn/opac/search/detail.asp?aID=2&ID=33017 Trung tâm Học liệu Trường Đại học Thủ Dầu Một