- Nonlinear periodic waves and their modulations : an introductory course
- Tác giả: A.M. Kamchatnov
- Nhà xuất bản: World Scientific - New Jersey
- Năm xuất bản: 2000
- Số trang:383 p.
- Kích thước:23 cm
- Số đăng ký cá biệt:31859
- ISBN:9789810244071
- Mã Dewey:531.1133
- Đơn giá:0
- Vị trí lưu trữ:03 Quang Trung
- Ngôn ngữ:English
- Loại tài liệu:Sách Tham Khảo
- Đang rỗi/ Tổng sách:1/1
- Từ khóa:Nonlinear periodic waves
- Chủ đề: Nonlinear periodic waves
- Chuyên ngành: Khoa Học Tự Nhiên
- Tóm tắt: This volume develops the techniques of the theory of nonlinear periodic waves at elementary level and in pedagogical detail. It provides an introduction to a Whitham's theory of modulation in a form suitable for applications. The exposition is based on an 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 covered 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.