Canonical formulation of shallow water waves
- 21 December 1983
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 16 (18) , 4195-4201
- https://doi.org/10.1088/0305-4470/16/18/020
Abstract
The author introduces a new potential and use it with the velocity potential to construct a new variational principle for long surface waves in shallow water. Applying Dirac's theory of constraints, the author casts it into canonical form and obtain an explicit expression for the exact Hamiltonian.Keywords
This publication has 8 references indexed in Scilit:
- Shallow water waves: Conservation laws and symplectic geometryPhysics Letters A, 1983
- Conservation laws for shallow water waves on a sloping beachJournal of Mathematical Physics, 1982
- Hamiltonian formulations for surface wavesFlow, Turbulence and Combustion, 1981
- On Hamilton's principle for surface wavesJournal of Fluid Mechanics, 1977
- Generalised fluid dynamics and quantum mechanicsPhysica, 1974
- Stability of periodic waves of finite amplitude on the surface of a deep fluidJournal of Applied Mechanics and Technical Physics, 1972
- Variational principles in continuum mechanicsProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1968
- A variational principle for a fluid with a free surfaceJournal of Fluid Mechanics, 1967