Nonlinear Wave Processes in Acoustics

The authors consider models of different 'acoustic' media as well as equations and behaviour of finite-amplitude waves.

K. Naugolnykh (Author), L. Ostrovsky (Author)

9780521399845, Cambridge University Press

Paperback, published 28 May 1998

312 pages, 57 b/w illus.
23 x 15.4 x 1.9 cm, 0.44 kg

'… impressive and useful … A good test of an advanced book like this one is to go back over problems within its remit that one has attacked in the past, and wonder whether the book would have helped or hindered … The book passes the test with ease … this book will be useful to me and to many other research workers in this field and related ones. As a reference and a guide to the literature it is excellent, and its terseness is an advantage when one needs a quick introduction to a subject.' A. Evans, Review in Contemporary Physics

The investigation of nonlinear phenomena in acoustics has a rich history stretching back to the mechanical physical sciences in the nineteenth century. The study of nonlinear phenomena, such as explosions and jet engines, prompted the sharp growth of interest in nonlinear acoustic phenomena. The authors consider models of different 'acoustic' media as well as equations and behaviour of finite-amplitude waves. Consideration is given to the effects of nonlinearity, dissipation, dispersion, and for two- and three-dimensional problems, reflection and diffraction upon the evolution and interaction of acoustic beams. This book will be of interest not only to specialists in acoustics, but also to a wide audience of mathematicians, physicists, and engineers working on nonlinear waves in various physical systems.

Preface
1. Nonlinearity, dissipation and dispersion in acoustics
2. Simple waves and shocks in acoustics
3. Nonlinear geometrical acoustics
4. Nonlinear sound beams
5. Sound-sound interaction (nondispersive medium)
6. Nonlinear acoustic waves in dispersive media
7. Self-action and stimulated scattering of sound
Conclusion
Subject index.

Subject Areas: Applied mathematics [PBW]