New Neumann System Associated with a 3 × 3 Matrix Spectral Problem
Keyword(s):
Lax Pair
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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.
2007 ◽
Vol 47
(1)
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pp. 171-171
2008 ◽
Vol 48
(7)
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pp. 1133-1139
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2000 ◽
Vol 130
(4)
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pp. 699-720
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2014 ◽
Vol 54
(3)
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pp. 439-442
1988 ◽
pp. 55-142
2007 ◽
Vol 13
(2)
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pp. 273-288
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