Canonical Hamiltonians for waves in inhomogeneous media

DOI10.1063/1.3054275zbMath1200.35051arXiv0807.1149OpenAlexW3099615348MaRDI QIDQ3650896

Yuri V. Lvov, Sergey V. Nazarenko, Boris Gershgorin

Publication date: 7 December 2009

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0807.1149

zbMATH Keywords

linear wavescanonical form of Hamiltoniancanonical form of quadratic Hamiltoniannear-identical transformationsseries of canonical Bogolyubov-typeweakly inhomogeneous mediumweakly nonlinear random waves in inhomogeneous mediaWKB representation of wave packets

Mathematics Subject Classification ID

Nonlinear first-order PDEs (35F20) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) PDEs with randomness, stochastic partial differential equations (35R60)

Related Items (1)

Wave turbulence in Bose-Einstein condensates

Cites Work

• Applied mathematics meets signal processing.
• Weak turbulent approach to the wind-generated gravity sea waves
• Wave turbulence in Bose-Einstein condensates
• Dynamics of the Bose-Einstein condensation
• Turbulence of capillary waves -- theory and numerical simulation

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