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arXiv · 0807.1149

Canonical Hamiltonians for waves in inhomogeneous media

Boris Gershgorin·Yuri V. Lvov·Sergey Nazarenko
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Abstract

We obtain a canonical form of a quadratic Hamiltonian for linear waves in a weakly inhomogeneous medium. This is achieved by using the WKB representation of wave packets. The canonical form of the Hamiltonian is obtained via the series of canonical Bogolyubov-type and near-identical transformations. Various examples of the application illustrating the main features of our approach are presented. The knowledge of the Hamiltonian structure for linear wave systems provides a basis for developing a theory of weakly nonlinear random waves in inhomogeneous media generalizing the theory of homogeneous wave turbulence.

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Boris Gershgorin, Yuri V. Lvov, Sergey Nazarenko. 2008-12-27. Canonical Hamiltonians for waves in inhomogeneous media. https://doi.org/10.1063/1.3054275

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