1994•Journal of the Physical Society of JapanRequires access

Extending the Hamiltonian Structures and New Integrable Systems

Chandana Ghosh, A. Roy Chowdhury

Abstract

By starting with the known Hamiltonian structure of integrable systems, it is shown how extended Hamiltonian operators can be constructed using the conditions deduced by Dorfman for an operator to be symplectic and Hamiltonian. Such extended operators are seen to generate new and coupled integrable systems.

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Key concepts: Integrable system, Superintegrable Hamiltonian system, Symplectic geometry, Hamiltonian system, Hamiltonian (control theory), Covariant Hamiltonian field theory, Mathematical physics, Physics