Hamiltonian long wave expansions for internal waves over a periodically varying bottom

DOI10.1007/s10483-008-0606-xzbMath1231.37046OpenAlexW1517307628MaRDI QIDQ940652

Hong-Yan Zhou, Da-Xiong Piao

Publication date: 1 September 2008

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-008-0606-x

zbMATH Keywords

Boussinesq equationKdV equationHamiltonian perturbation theorypotential functionDirichlet-Neumann operatorinternal waves

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) KdV equations (Korteweg-de Vries equations) (35Q53) Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40)

Related Items (1)

Hamiltonian model for coupled surface and internal waves over currents and uneven bottom

Cites Work

• Hamiltonian long-wave approximations to the water-wave problem
• Hamiltonian formulation of nonlinear water waves in a two-fluid system
• A Hamiltonian formulation of water waves with constant vorticity
• Reappraisal of the Kelvin–Helmholtz problem. Part 1. Hamiltonian structure
• Weakly nonlinear internal waves in a two-fluid system
• Fully nonlinear internal waves in a two-fluid system
• Hamiltonian long–wave expansions for water waves over a rough bottom
• Hamiltonian long‐wave expansions for free surfaces and interfaces
• Normal forms for wave motion in fluid interfaces.

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