Perturbed Hamiltonian systems
Copyright policy )Perturbed Hamiltonian systems
It is shown that when a completely integrable Hamiltonian system is perturbed about a particular solution the resulting equations to all orders are completely integrable Hamiltonian systems. Numerous examples are worked out and some new constants for the original system are obtained.
- Rockefeller University United States
Hamilton's equations, Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests, Nonlinear dynamics in mechanics, KdV hierarchy, Partial differential equations of mathematical physics and other areas of application, perturbation equations, Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.), Initial value problems for linear higher-order PDEs, Toda lattice, Higher-order parabolic equations
Hamilton's equations, Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests, Nonlinear dynamics in mechanics, KdV hierarchy, Partial differential equations of mathematical physics and other areas of application, perturbation equations, Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.), Initial value problems for linear higher-order PDEs, Toda lattice, Higher-order parabolic equations
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