Symmetry, Phase Modulation and Nonlinear Waves (Cambridge by Thomas J. Bridges

By Thomas J. Bridges

Nonlinear waves are pervasive in nature, yet are usually elusive once they are modelled and analysed. This booklet develops a usual method of the matter in response to section modulation. it's either an elaboration of using section modulation for the examine of nonlinear waves and a compendium of history leads to arithmetic, reminiscent of Hamiltonian structures, symplectic geometry, conservation legislation, Noether concept, Lagrangian box idea and research, all of which mix to generate the recent idea of section modulation. whereas the build-up of thought will be extensive, the ensuing emergent partial differential equations are really basic. A key consequence of the speculation is that the coefficients within the emergent modulation equations are common and simple to calculate. This publication offers a number of examples of the consequences within the concept of fluid mechanics and issues to a variety of new applications.

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