Hamiltonian Hierarchies on Semisimple Lie Algebras | Zendy

Sattinger D. H. | Zendy

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Hamiltonian Hierarchies on Semisimple Lie Algebras

Author(s) -

Sattinger D. H.

Publication year - 1985

Publication title -

studies in applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.164

H-Index - 46

eISSN - 1467-9590

pISSN - 0022-2526

DOI - 10.1002/sapm198572165

Subject(s) - mathematics , integrable system , meromorphic function , lie algebra , hamiltonian (control theory) , pure mathematics , algebra over a field , partial differential equation , connection (principal bundle) , nonlinear system , mathematical analysis , physics , quantum mechanics , mathematical optimization , geometry

A recursion formula is described which generates infinite hierarchies of completely integrable Hamiltonian systems of nonlinear partial differential equations. These equations govern the evolution of a function u of x , t which takes its values in a semisimple Lie algebra. A Hamiltonian for the hierarchy is given in terms of a meromorphic connection matrix.

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