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Bi‐Integrable Couplings of a New Soliton Hierarchy Associated with SO(4)

Yan Cao, Liangyun Chen and Baiying He

Advances in Mathematical Physics, 2015, vol. 2015, issue 1

Abstract: Based on the six‐dimensional real special orthogonal Lie algebra SO(4), a new Lax integrable hierarchy is obtained by constructing an isospectral problem. Furthermore, we construct bi‐integrable couplings for this hierarchy from the enlarged matrix spectral problems and the enlarged zero curvature equations. Hamiltonian structures of the obtained bi‐integrable couplings are constructed by the variational identity.

Date: 2015
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https://doi.org/10.1155/2015/857684

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