467 citations · 2k across the 86 of their papers we have counts for
Showing 2009Show all
3 papers · 1 filter
math-ph2009★ 4 cited
hbar-expansion of KP hierarchy: Recursive construction of solutions
Kanehisa Takasaki, Takashi Takebe
The \hbar-dependent KP hierarchy is a formulation of the KP hierarchy that depends on the Planck constant \hbar and reduces to the dispersionless KP hierarchy as \hbar -> 0. A recu…
nlin.SI2009★ 11 cited
Auxiliary Linear Problem, Difference Fay Identities and Dispersionless Limit of Pfaff-Toda Hierarchy
Kanehisa Takasaki
Recently the study of Fay-type identities revealed some new features of the DKP hierarchy (also known as "the coupled KP hierarchy" and "the Pfaff lattice"). Those results are now…
math-ph2009★ 7 cited
Integrable structure of melting crystal model with two q-parameters
Kanehisa Takasaki
This paper explores integrable structures of a generalized melting crystal model that has two -parameters . This model, like the ordinary one with a single -paramete…