Bi-integrable and tri-integrable couplings of a soliton hierarchy associated with SO(4)
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Abstract In our paper, the theory of bi-integrable and tri-integrable couplings is generalized to the discrete case. First, based on the six-dimensional real special orthogonal Lie algebra SO(4), we construct bi-integrable and tri-integrable couplings associated with SO(4) for a hierarchy from the enlarged matrix spectral problems and the enlarged zero curvature equations. Moreover, Hamiltonian structures of the obtained bi-integrable and tri-integrable couplings are constructed by the variational identities.
2016 ◽
Vol 2016
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pp. 1-6
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2013 ◽
Vol 5
(05)
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pp. 652-670
2013 ◽
Vol 3
(3)
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pp. 171-189
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2010 ◽
Vol 24
(08)
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pp. 791-805
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2007 ◽
Vol 21
(30)
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pp. 2063-2074
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