The Space-Time Ray Method: Linear and Nonlinear Waves - Rilegato

Babich, Vasili M.; Buldyrev, Vladimir S.; Molotkov, Ivan A.

Rilegato

ISBN 10: 0521622018 ISBN 13: 9780521622011

Casa editrice: Cambridge University Press, 2002

Riassunto

This is the first work devoted to the space-time ray method (STRM), a technique for solving partial differential equations and whose source dates back to Hamilton, Rayleigh and others. STRM gives a unified view of a large class of non-stationary wave processes that arise in a variety of situations. The basic aim of the authors is to explain the fundamentals of the method and how it can be used. To this end they apply it to many concrete examples: internal and surface waves (linear and nonlinear) in dense fluids, propagation of powerful narrow wave beams, Rayleigh waves, waves in waveguides of complex geometry, and so on. The treatment is reasonably self-contained, and so it is suitable for advanced courses, but the wealth of applications and examples will also make it a good reference in any area of science and engineering in which the modelling of wave processes is important.

Su questo libro

Descrizione del libro

This is the first work devoted to the space-time ray method. The aim of the authors is to explain the fundamentals of the method and its use. Suitable for advanced courses, the wealth of applications and examples will also make it a good reference in any area of science and engineering in which the modelling of wave processes is important.

Contenuti

Preface; 1. The space-time ray method for the wave equation; 2. The space-time ray method in vector wave problems; 3. The space-time ray description of various wave processes; 4. Construction of space-time ray asymptotics in non-stationary problems using short wavelength asymptotics of stationary problems; 5. Small nonlinear perturbations of single-frequency oscillation systems; 6. Some asymptotic methods in the theory of wave propagation for nonlinear media; References; Index.

Dettagli dell?edizione

• Editore: Cambridge University Press
• Data di pubblicazione: 2002
• ISBN 10: 0521622018
• ISBN 13: 9780521622011
• Rilegatura: Copertina rigida
• Lingua: Inglese
• Numero di pagine: 352