Higher-Order Hamiltonian Model for Unidirectional Water Waves
نویسندگان
چکیده
منابع مشابه
Hamiltonian and Non - Hamiltonian Modeis Pcs Water Waves
A. general theory for determining Hamiltonian model equations from noncanonical perturbation expansions of Hamiltonian systems is applied to the Boussinesq expan sion fcr long, small amplitude waves in shallow water, leading to the Korteweg-deVries equation. New Hamiltonian model equations, including a natural "Hamiltonian ver-cn» of the KdV equation, are proposed. The method also provides a di...
متن کاملReduced-order precursors of rare events in unidirectional nonlinear water waves
We consider the problem of short-term prediction of rare, extreme water waves in irregular unidirectional fields, a critical topic for ocean structures and naval operations. One possible mechanism for the occurrence of such rare, unusually intense waves is nonlinear wave focusing. Recent results have demonstrated that random localizations of energy, induced by the linear dispersive mixing of di...
متن کاملNearly-hamiltonian Structure for Water Waves with Constant Vorticity
We show that the governing equations for two-dimensional gravity water waves with constant non-zero vorticity have a nearly-Hamiltonian structure, which becomes Hamiltonian for steady waves.
متن کاملHigher-order effective Hamiltonian for light atomic systems
Krzysztof Pachucki Institute of Theoretical Physics, Warsaw University, Hoża 69, 00-681 Warsaw, Poland (Dated: November 18, 2004) Abstract We present the derivation of the effective higher-order Hamiltonian, which gives mα6 contribution to energy levels of an arbitrary light atom. The derivation is based on the Foldy-Wouthuysen transformation of the one-particle Dirac Hamiltonian followed by pe...
متن کاملThe Lagrangian-Hamiltonian Formalism for Higher Order Field Theories
We generalize the lagrangian-hamiltonian formalism of Skinner and Rusk to higher order field theories on fiber bundles. As a byproduct we solve the long standing problem of defining, in a coordinate free manner, a hamiltonian formalism for higher order lagrangian field theories, which does only depend on the action functional and, therefore, unlike previously proposed formalisms, is free from a...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Nonlinear Science
سال: 2017
ISSN: 0938-8974,1432-1467
DOI: 10.1007/s00332-017-9417-y