Linear and nonlinear waves
Saved in:
Main Authors: | |
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Published: |
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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. |