72 citations · 406 across the 28 of their papers we have counts for
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nlin.SI2008★ 26 cited
On a class of multidimensional integrable hierarchies and their reductions
L. V. Bogdanov
A class of multidimensional integrable hierarchies connected with commutation of general (unreduced) (N+1)-dimensional vector fields containing derivative over spectral variable is…
nlin.SI2008★ 3 cited
Generalized dKP: Manakov-Santini hierarchy and its waterbag reduction
L. V. Bogdanov, Jen-Hsu Chang, Yu-Tung Chen
We study Manakov-Santini equation, starting from Lax-Sato form of associated hierarchy. The waterbag reduction for Manakov-Santini hierarchy is introduced. Equations of reduced hie…