New Neumann System Associated with a 3 × 3 Matrix Spectral Problem
Copyright policy )New Neumann System Associated with a 3 × 3 Matrix Spectral Problem
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.
- Henan University of Technology China (People's Republic of)
Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests, Eigenvalues, singular values, and eigenvectors, Physics, QC1-999
Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests, Eigenvalues, singular values, and eigenvectors, Physics, QC1-999
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