Linear and nonlinear waves

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Bibliographic Details
Main Authors: Whitham, G. B. (Gerald Beresford), 1927-
Published:
Literature type: Electronic eBook
Language: English
Series: Pure and applied mathematics ; [1237]
Subjects:
Online Access: http://onlinelibrary.wiley.com/book/10.1002/9781118032954
Item Description: Originally published: New York : Wiley, 1974.
"A Wiley-Interscience publication."
Carrier Form: 1 online resource (xvi, 636 pages) : illustrations.
Bibliography: Includes bibliographical references (pages 621-628) and index.
ISBN: 9781118032954
1118032950
9781118031209
1118031202
Index Number: QA927
CLC: O4
Contents: Front Matter -- Introduction and General Outline -- Hyperbolic Waves. Waves and First Order Equations -- Specific Problems -- Burgers' Equation -- Hyperbolic Systems -- Gas Dynamics -- The Wave Equation -- Shock Dynamics -- The Propagation of Weak Shocks -- Wave Hierarchies -- Dispersive Waves. Linear Dispersive Waves -- Wave Patterns -- Water Waves -- Nonlinear Dispersion and the Variational Method -- Group Velocities, Instability, and Higher Order Dispersion -- Applications of the Nonlinear Theory -- Exact Solutions; Interacting Solitary Waves -- References -- Index -- Pure and Applied Mathematics.
1. Introduction and General Outline -- 2. Waves and First Order Equations -- 3. Specific Problems -- 4. Burgers' Equation -- 5. Hyperbolic Systems -- 6. Gas Dynamics -- 7. The Wave Equation -- 8. Shock Dynamics -- 9. The Propagation of Weak Shocks -- 10. Wave Hierarchies -- 11. Linear Dispersive Waves -- 12. Wave Patterns -- 13. Water Waves -- 14. Nonlinear Dispersion and the Variational Method -- 15. Group Velocities, Instability, and Higher Order Dispersion -- 16. Applications of the Nonlinear Theory -- 17. Exact Solutions; Interacting Solitary Waves.