The Hamiltonian structure of the modified and fifth-order Korteweg–de Vries equation

DOI10.1063/1.528133zbMath0653.76010OpenAlexW2003545189MaRDI QIDQ3799716

G. W. Kentwell

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1063/1.528133

zbMATH Keywords

Hamiltonian structuremodified KdV equationfifth order KdV equationnon-canonical Poisson bracket

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Hamiltonian and Lagrangian mechanics (70H99) Foundations of fluid mechanics (76A02)

Related Items (2)

The Hamiltonian structure of a coupled system derived from a supersymmetric breaking of super Korteweg-de Vries equations ⋮ \(D=5,\) \(N=2\) geometric higher curvature supergravity in the second-order canonical theory

Cites Work

• The Hamiltonian structure of the Maxwell-Vlasov equations
• Poisson brackets for Lagrangians linear in the velocity
• Constrained Hamiltonian dynamics and the Poisson structure of some integrable systems
• Korteweg-de Vries equation: a completely integrable Hamiltonian system
• Canonical formulation of relativistic hydrodynamics
• An Extension of Nonlinear Evolution Equations of the K-dV (mK-dV) Type to Higher Orders
• Generalized classical dynamics, and the ‘classical analogue’ of a Fermioscillator
• On the quantization of the new field theory II
• Korteweg-de Vries Equation and Generalizations. IV. The Korteweg-de Vries Equation as a Hamiltonian System
• On the hamiltonian structure of non-local field theories

This page was built for publication: The Hamiltonian structure of the modified and fifth-order Korteweg–de Vries equation