Large BKP hierarchyToda hierarchymToda hierarchyBilinear equationLax equationTau functionIn this paper, we mainly investigate Lax structure and tau function for the large BKP hierarchy, which is also known as Toda hierarchy of B type. Firstly, the large BKP hierarchy can be derived from fermionic ...
Nekrasov, "D-particles, matrix integrals and KP hierarchy," Nucl The partition function of the grand canonical ensemble turns out to be a tau-function of KP hierarchy. As an illustration of the method we present a ... VA Kazakov,IK Kostov,N Nekrasov - 《Nuclear Physics B》 被引量: 167...
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We consider multi-component Kadomtsev-Petviashvili hierarchy of type C (the multi-component CKP hierarchy) originally defined with the help of matrix pseudo-differential operators via the Lax-Sato formalism. Starting from the bilinear relation for the wave functions, we prove existence of the tau-fu...
Starting from a set of bilinear equationsof two‐component KP–Toda hierarchy, we derive multibright solution to the MT model. Then, considering a set of bilinear equationsof the single‐component KP–Toda hierarchy, multidark soliton and multibreather solutions to the MT model are constructed by...
We provide an integral formula for the free energy of the two-matrix model with polynomial potentials of arbitrary degree (or formal power series). This is known to coincide with the 蟿-function of the dispersionless two-dimensional Toda hierarchy. The formula generalizes the case of conformal ...