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Canonical Hamiltonians for waves in inhomogeneous media
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Gershgorin, Boris, Lvov, Yuri V. and Nazarenko, Sergey (2009) Canonical Hamiltonians for waves in inhomogeneous media. Journal of Mathematical Physics, Vol.50 (No.1). Article: 013527. doi:10.1063/1.3054275 ISSN 0022-2488.
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Official URL: http://dx.doi.org/10.1063/1.3054275
Abstract
We obtain a canonical form of a quadratic Hamiltonian for linear waves in a weakly inhomogeneous medium. This is achieved by using the Wentzel-Kramers-Brillouin 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.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QC Physics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Journal or Publication Title: | Journal of Mathematical Physics | ||||
Publisher: | American Institute of Physics | ||||
ISSN: | 0022-2488 | ||||
Official Date: | January 2009 | ||||
Dates: |
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Volume: | Vol.50 | ||||
Number: | No.1 | ||||
Number of Pages: | 27 | ||||
Page Range: | Article: 013527 | ||||
DOI: | 10.1063/1.3054275 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access | ||||
Funder: | NSF CAREER | ||||
Grant number: | DMS 0134955 |
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