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- W3102276216 abstract "Connections via Bäcklund transformations among different nonlinear evolution equations are investigated aiming to compare corresponding Abelian and non Abelian results. Specifically, links, via Bäcklund transformations, connecting Burgers and KdV-type hierarchies of nonlinear evolution equations are studied. Crucial differences as well as notable similarities between Bäcklund charts in the case of the Burgers -heat equation, on one side, and KdV-type equations, on the other, are considered. The Bäcklund charts constructed in [16] and [17], respectively, to connect Burgers and KdV-type hierarchies of operator nonlinear evolution equations show that the structures, in the non-commutative cases, are richer than the corresponding commutative ones." @default.
- W3102276216 created "2020-11-23" @default.
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- W3102276216 date "2019-01-01" @default.
- W3102276216 modified "2023-10-17" @default.
- W3102276216 title "Abelian versus non-Abelian Bäcklund charts: Some remarks" @default.
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- W3102276216 doi "https://doi.org/10.3934/eect.2019003" @default.
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