Bi‐Integrable and Tri‐Integrable Couplings of a Soliton Hierarchy Associated with SO(3)

Jian Zhang, Chiping Zhang and Yunan Cui

Advances in Mathematical Physics, 2017, vol. 2017, issue 1

Abstract: Based on the three‐dimensional real special orthogonal Lie algebra SO(3), by zero curvature equation, we present bi‐integrable and tri‐integrable couplings associated with SO(3) 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 applying the variational identities.

Date: 2017
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https://doi.org/10.1155/2017/9743475

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2017:y:2017:i:1:n:9743475

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