| Abstract: |
| It is proved by Liu, Ruan and Zhang that part of the flows in an ADE Drinfeld--Sokolov hierarchy can be reduced to a BCFG Drinfeld--Sokolov hierarchy. Here we extend this result to a more general theorem, by which a Drinfeld--Sokolov hierarchy of twisted type can also be reduced from an ADE (or other type) Drinfeld--Sokolov hierarchy. For these hierarchies, we also study their solutions characterized by some ODEs of Painleve type. |
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