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Books > Science & Mathematics > Physics > Classical mechanics > Fluid mechanics
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Symmetry, Phase Modulation and Nonlinear Waves (Hardcover)
Loot Price: R2,103
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Symmetry, Phase Modulation and Nonlinear Waves (Hardcover)
Series: Cambridge Monographs on Applied and Computational Mathematics
Expected to ship within 12 - 17 working days
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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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