31 citations · 49 across the 5 of their papers we have counts for
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nlin.SI2012★ 5 cited
Higher jet prolongation Lie algebras and Backlund transformations for (1+1)-dimensional PDEs
Sergey Igonin
For any (1+1)-dimensional (multicomponent) evolution PDE, we define a sequence of Lie algebras , , which are responsible for all Lax pairs and zero-curvature re…
nlin.SI2012★ 5 cited
Infinite-dimensional prolongation Lie algebras and multicomponent Landau-Lifshitz systems associated with higher genus curves
S. Igonin, J. van de Leur, G. Manno +1
The Wahlquist-Estabrook prolongation method constructs for some PDEs a Lie algebra that is responsible for Lax pairs and Backlund transformations of certain type. We present some g…