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Item Details
Title: SYMMETRY, PHASE MODULATION AND NONLINEAR WAVES
By: Thomas J. Bridges
Format: Hardback

List price: £72.99
Our price: £65.69
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10% off
You save: £7.30
ISBN 10: 1107188849
ISBN 13: 9781107188846
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Publisher: CAMBRIDGE UNIVERSITY PRESS
Pub. date: 3 July, 2017
Series: Cambridge Monographs on Applied and Computational Mathematics 31
Pages: 236
Description: Bridges studies the origin of Korteweg-de Vries equation using phase modulation and its implications in dynamical systems and nonlinear waves.
Synopsis: Nonlinear waves are pervasive in nature, but are often elusive when they are modelled and analysed. This book develops a natural approach to the problem based on phase modulation. It is both an elaboration of the use of phase modulation for the study of nonlinear waves and a compendium of background results in mathematics, such as Hamiltonian systems, symplectic geometry, conservation laws, Noether theory, Lagrangian field theory and analysis, all of which combine to generate the new theory of phase modulation. While the build-up of theory can be intensive, the resulting emergent partial differential equations are relatively simple. A key outcome of the theory is that the coefficients in the emergent modulation equations are universal and easy to calculate. This book gives several examples of the implications in the theory of fluid mechanics and points to a wide range of new applications.
Illustrations: 12 b/w illus.
Publication: UK
Imprint: Cambridge University Press
Returns: Returnable
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