An Algebraic Structure of Zero Curvature Representations Associated With Coupled Integrable Couplings and Applications to τ-Symmetry Algebras
Document Type
Article
Publication Date
2011
Keywords
Zero curvature representation, coupled integrable couplings, τ-symmetry algebra
Digital Object Identifier (DOI)
https://doi.org/10.1142/S0217979211101351
Abstract
We establish an algebraic structure for zero curvature representations of coupled integrable couplings. The adopted zero curvature representations are associated with Lie algebras possessing two sub-Lie algebras in form of semi-direct sums of Lie algebras. By applying the presented algebraic structures to the AKNS systems, we give an approach for generating τ-symmetry algebras of coupled integrable couplings.
Was this content written or created while at USF?
Yes
Citation / Publisher Attribution
International Journal of Modern Physics B, v. 25, issue 23-24, p. 3237-3252
Scholar Commons Citation
Luo, Lin; Ma, Wen-Xiu; and Fan, Engui, "An Algebraic Structure of Zero Curvature Representations Associated With Coupled Integrable Couplings and Applications to τ-Symmetry Algebras" (2011). Mathematics and Statistics Faculty Publications. 133.
https://digitalcommons.usf.edu/mth_facpub/133
