Canonical structures for dispersive waves in shallow water

DOI10.1063/1.527505zbMath0642.76017OpenAlexW2059124630MaRDI QIDQ3783681

Fahrünisa Neyzi, Yavuz Nutku

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1063/1.527505

zbMATH Keywords

Boussinesq approximationintegrable systemsKdV equationshallow waterLagrangian systemsequations of fluid dynamicsGardner bracketcanonical Hamiltonian structurenormal canonical variables

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Hamilton's equations (70H05) Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics (70H15)

Related Items (5)

Higher-order Lagrangian systems: Geometric structures, dynamics, and constraints ⋮ An explicit Hamiltonian formulation of surface waves in water of finite depth ⋮ Symplectic reduction of higher order Lagrangian systems with symmetry ⋮ On the quantization of constrained generalized dynamics ⋮ Nonclassical symmetry reductions for the dispersive wave equations in shallow water

Cites Work

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