Nonlinear Dispersive Waves
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- Publisher:
- Cambridge University Press
- Publication date:
- 05 June 2012
- 08 September 2011
- ISBN:
- 9780511998324
- 9781107012547
- 9781107664104
- Dimensions:
- (228 x 152 mm)
- Weight & Pages:
- 0.65kg, 362 Pages
- Dimensions:
- (228 x 152 mm)
- Weight & Pages:
- 0.52kg, 362 Pages
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Book description
The field of nonlinear dispersive waves has developed enormously since the work of Stokes, Boussinesq and Korteweg–de Vries (KdV) in the nineteenth century. In the 1960s, researchers developed effective asymptotic methods for deriving nonlinear wave equations, such as the KdV equation, governing a broad class of physical phenomena that admit special solutions including those commonly known as solitons. This book describes the underlying approximation techniques and methods for finding solutions to these and other equations. The concepts and methods covered include wave dispersion, asymptotic analysis, perturbation theory, the method of multiple scales, deep and shallow water waves, nonlinear optics including fiber optic communications, mode-locked lasers and dispersion-managed wave phenomena. Most chapters feature exercise sets, making the book suitable for advanced courses or for self-directed learning. Graduate students and researchers will find this an excellent entry to a thriving area at the intersection of applied mathematics, engineering and physical science.
Reviews
'[This] is an up-to-date teaching resource that will prepare students for work in nonlinear waves as the subject appears today in applications, especially in nonlinear optics. It is clear that Mark Ablowitz's book is a welcome addition to the literature that will be particularly useful to anyone planning a course on nonlinear waves.'
Peter D. Miller Source: SIAM News
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