Nonlinear Periodic Waves and Their Modulations: An Introductory Course

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9789810244071: Nonlinear Periodic Waves and Their Modulations: An Introductory Course

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.

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Book Description 2000. Hardcover. Book Condition: New. 160mm x 25mm x 218mm. Hardcover. 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.Shipping may be from multiple locations in the US or from the UK, depending on stock availability. 383 pages. 0.658. Bookseller Inventory # 9789810244071

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Book Description 2000. Hardcover. Book Condition: New. 160mm x 25mm x 218mm. Hardcover. 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 .Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. 383 pages. 0.658. Bookseller Inventory # 9789810244071

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