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

Fang Li and Liping Lu

Advances in Mathematical Physics, 2014, vol. 2014, issue 1

Abstract: 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.

Date: 2014
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https://doi.org/10.1155/2014/708603

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2014:y:2014:i:1:n:708603

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