Symmetry, Phase Modulation and Nonlinear Waves
Book Details
Format
Hardback or Cased Book
ISBN-10
1107188849
ISBN-13
9781107188846
Publisher
Cambridge University Press
Imprint
Cambridge University Press
Country of Manufacture
US
Country of Publication
GB
Publication Date
Jul 3rd, 2017
Print length
236 Pages
Weight
462 grams
Dimensions
16.00 x 26.20 x 1.80 cms
Product Classification:
Nonlinear scienceFluid mechanics
Ksh 13,700.00
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Nonlinear waves are pervasive in nature, but are often elusive when they are modelled and analysed. In this book the author develops a natural approach to the problem based on phase modulation. He delivers models, mechanisms, generality, universality and ease of computation, as well as developing the necessary mathematical background.
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.
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