New Neumann System Associated with a 3 × 3 Matrix Spectral Problem | Zendy

Fang Li | Zendy; Liping Lu | Zendy

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New Neumann System Associated with a 3 × 3 Matrix Spectral Problem

Author(s) -

Fang Li,

Liping Lu

Publication year - 2014

Publication title -

advances in mathematical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.283

H-Index - 23

eISSN - 1687-9139

pISSN - 1687-9120

DOI - 10.1155/2014/708603

Subject(s) - integrable system , mathematics , von neumann architecture , neumann series , constraint (computer aided design) , matrix (chemical analysis) , ordinary differential equation , spectral properties , lax pair , pure mathematics , mathematical analysis , differential equation , physics , materials science , geometry , astrophysics , composite material

The nonlinearization approach of Lax pair is applied to the case of the Neumann constraint associated with a 3 × 3 matrix spectral problem, from which a new Neumann system is deduced and proved to be completely integrable in the Liouville sense. As an application, solutions of the first nontrivial equation related to the 3 × 3 matrix spectral problem are decomposed into solving two compatible Hamiltonian systems of ordinary differential equations

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