Hamiltonian structure, symmetries and conservation laws for water waves
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Publication:4750273
DOI10.1017/S0022112082003292zbMath0511.76020WikidataQ62773271 ScholiaQ62773271MaRDI QIDQ4750273
Peter J. Olver, Brooke Benjamin
Publication date: 1982
Published in: Journal of Fluid Mechanics (Search for Journal in Brave)
conservation lawsurface tensionfree surfaceNoether theoremfinite and infinite depthgroups of symmetriesperfect-fluidcomplete nonlinear problemuniform ocean
Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)
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Cites Work
- On solitary water-waves of finite amplitude
- Group theoretical nature of conservation theorems
- Sur la géométrie différentielle des groupes de Lie de dimension infinite et ses applications à l'hydrodynamique des fluides parfaits
- Evolution equations possessing infinitely many symmetries
- On Hamilton's principle for surface waves
- A note regarding ‘On Hamilton's principle for surface waves’
- Korteweg-de Vries Equation and Generalizations. IV. The Korteweg-de Vries Equation as a Hamiltonian System
- On an invariant property of water waves
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