Pencils of Stäckel-type Novikov algebras yield centrally extended Dubrovin-Novikov operators that generate coupled and triangular cKdV and cHD soliton hierarchies.
and Fordy A.P.,Factorisation of energy dependent Schrödinger operators: Miura maps and modified systems, Comm
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From pencils of Novikov algebras of St\"ackel type to soliton hierarchies
Pencils of Stäckel-type Novikov algebras yield centrally extended Dubrovin-Novikov operators that generate coupled and triangular cKdV and cHD soliton hierarchies.