Two soliton hierarchies associated with SO (4) and the applications of SU (2) ⊗ SU (2) ≅ SO (4)

Two soliton hierarchies associated with SO (4) and the applications of SU (2) ⊗ SU (2) ≅ SO (4)

Based on the six-dimensional real special orthogonal Lie algebra SO(4), we construct two different isospectral problems. And the two hierarchies of soliton equations from zero curvature equations can be generated. At last, we use the property of the isomorphism SU(2) ⊗ SU(2) ≅ SO(4), and obtain the...

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Veröffentlicht in:Journal of mathematical physics 2014-09, Vol.55 (9), p.1
Hauptverfasser: He, Baiying, Chen, Liangyun, Ma, Lili
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Curvature
Hierarchies
Isomorphism
Lie groups
Mathematical analysis
Mathematics
Physics
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Zusammenfassung:Based on the six-dimensional real special orthogonal Lie algebra SO(4), we construct two different isospectral problems. And the two hierarchies of soliton equations from zero curvature equations can be generated. At last, we use the property of the isomorphism SU(2) ⊗ SU(2) ≅ SO(4), and obtain the relations between the hierarchy of SU(2) ⊗ SU(2) and the hierarchy of SO(4).
ISSN:0022-2488
1089-7658
DOI:10.1063/1.4895914