On wave action and phase in the non–canonical Hamiltonian formulation

DOI10.1098/rspa.1999.0301zbMath0943.76014OpenAlexW1995744268MaRDI QIDQ4260242

Theodore G. Shepherd, Jacques Vanneste

Publication date: 10 September 2000

Published in: Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.1999.0301

zbMATH Keywords

conservation lawsPoisson structurepseudo-energyWKB expansionnon-canonical Hamiltonian structureBerry's phasepseudo-momentumadiabatic invariance of wave actionslowly varying wave

Mathematics Subject Classification ID

Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Hamilton's equations (70H05)

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