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Two integrable Hamiltonian hierarchies in sl(2, R) and so(3, R) with three potentials

dc.contributor.authorGu, Xiang
dc.contributor.authorMa, Wen-Xiu
dc.contributor.authorZhang, Wen-Ying
dc.contributor.researchID30109760 - Ma, Wen-Xiu
dc.date.accessioned2018-07-27T08:08:53Z
dc.date.available2018-07-27T08:08:53Z
dc.date.issued2017
dc.description.abstractBy introducing two specific matrix spectral problems associated with sl(2,ℝ) and so(3,ℝ) matrix Lie algebras, we generate two integrable Hamiltonian hierarchies with three potentials. The computation and analysis on their Hamiltonian structures by means of the trace identity show that the resulting hierarchies are Liouville integrable, namely, that each hierarchy consists of commuting Hamiltonian soliton equations.
dc.identifier.citationGu, X. et al. 2017. Two integrable Hamiltonian hierarchies in sl(2, R) and so(3, R) with three potentials. Journal Of Mathematical Physics, 58:1-15. [https://doi.org/10.1063/1.4983750]
dc.identifier.issn0022-2488
dc.identifier.issn1089-7658 (Online)
dc.identifier.urihttps://doi.org/10.1063/1.4983750
dc.identifier.urihttp://hdl.handle.net/10394/30339
dc.language.isoen
dc.publisherAIP Publishing
dc.titleTwo integrable Hamiltonian hierarchies in sl(2, R) and so(3, R) with three potentials
dc.typeArticle

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