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nlin.SI2019★ 3 cited
Bilinear equation and additional symmetries for an extension of the Kadomtsev-Petviashvili hierarchy
Jiaping Lu, Chao-Zhong Wu
An extension of the Kadomtsev-Petviashvili (KP) hierarchy defined via scalar pseudo-differential operators was studied in [16, 20]. In this paper, we represent the extended KP hier…
nlin.SI2019
Virasoro Constraints for Drinfeld-Sokolov hierarchies and equations of Painlevé type
Si-Qi Liu, Chao-Zhong Wu, Youjin Zhang
We construct a tau cover of the generalized Drinfeld-Sokolov hierarchy associated to an arbitrary affine Kac-Moody algebra with gradations $\mathrm{s}\le\mathds{1}$ and derive its…