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Based on the Lie superalgebra spl(2, 1) and the TAH scheme, we generate (1+1)-dimensional and (2+1)-dimensional super soliton hierarchies associated with spl(2, 1). And by using the super-trace identity on… Click to show full abstract
Based on the Lie superalgebra spl(2, 1) and the TAH scheme, we generate (1+1)-dimensional and (2+1)-dimensional super soliton hierarchies associated with spl(2, 1). And by using the super-trace identity on Lie superalgebras, we construct the super-Hamiltonian structures of these new super soliton hierarchies. At last, we also obtain the Darboux transformations of the (1+1)-dimensional super soliton hierarchy.
Keywords:
associated spl;
super soliton;
integrable hierarchies;
super integrable;
darboux transformations;
hierarchies associated
Journal Title: Journal of Mathematical Physics
Year Published: 2017
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Journal Title: Journal of Mathematical Physics
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!