Weakly Nonlocal Solitary Waves and Beyond-All-Orders Asymptotics
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"Weakly Nonlocal Solitary Waves and Beyond-All-Orders Asymptotics" by John P. Boyd is a mathematics book and learning resource focused on Dynamics. Best for teachers, students, and readers looking for stronger mathematical understanding.
Describes a class of waves that radiate away from the core of the disturbance yet are long-lived nonlinear disturbances. Also discussed are the hyperasympototic perturbation theory and the use of Chebysev and Fourier numerical methods to computer solitary waves. A number of non-soliton problems in quantum physics, hydrodynamics, and instability theory are featured. The final chapters examine matched asymptotic expansions in the complex plane, the small denominator problem in Stockes expansions, multiple scale expansions in powers of the hyperbolic secant and tangent functions, and hyperasymptotic perturbation theory. Annotation copyrighted by Book News, Inc., Portland, OR
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"Weakly Nonlocal Solitary Waves and Beyond-All-Orders Asymptotics" by John P. Boyd is a mathematics book and learning resource focused on Dynamics. Best for teachers, students, and readers looking for stronger mathematical understanding.
Topic: Dynamics
Author: John P. Boyd
Who this is for:
- Teachers and classroom instructors
- Students building subject mastery
- Readers looking for practical learning support
Why this book matters: It stands out as a practical math resource that helps explain concepts, strengthen problem-solving, and support classroom or independent learning.
Describes a class of waves that radiate away from the core of the disturbance yet are long-lived nonlinear disturbances. Also discussed are the hyperasympototic perturbation theory and the use of Chebysev and Fourier numerical methods to computer solitary waves. A number of non-soliton problems in quantum physics, hydrodynamics, and instability theory are featured. The final chapters examine matched asymptotic expansions in the complex plane, the small denominator problem in Stockes expansions, multiple scale expansions in powers of the hyperbolic secant and tangent functions, and hyperasymptotic perturbation theory. Annotation copyrighted by Book News, Inc., Portland, OR
| Author | John P. Boyd |
| Publisher | Springer |
| Published | 1998-05-31 |
| ISBN-13 | 9780792350729 |
| Binding | Hardcover |
| Pages | 624 |
| Language | English |
| Subjects | Mathematics |
| Topic | Dynamics |
| Series | Mathematics and Its Applications |
Format: Hardcover
Length: 624 pages
Language: English
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