9 citations · 19 across the 6 of their papers we have counts for
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On the discrete modified KP hierarchy: tau functions, Fay identity and squared eigenfunction symmetries
Kelei Tian, Guangmiao Lai, Ge Yi +1
In this paper, we prove the existence of tau functions of the discrete modified KP hierarchy and define the squared eigenfunction symmetry. Meanwhile, the Fay identity with its dif…
On the dispersionless Davey-Stewartson hierarchy: the tau function, the Riemann-Hilbert problem and the Hamilton-Jacobi theory
Ge Yi, Rong Hu, Kelei Tian +1
The dDS (dispersionless Davey-Stewartson) hierarchy is constructed by two eigenfunctions of a special vector field. This hierarchy consists the infinite symmetries of the dDS syste…
The generalised q-Wronskian solutions of the q-deformed constrained modified KP hierarchy
Ge Yi, Wei Wang, Kelei Tian +1
In this paper, we give the form of the q-cmKP hierarchy generated by the gauge transformation operator . We show a necessary and sufficient condition to reduce the general…
On the Davey-Stewartson hierarchy: construction by two scalar pseudo-differential operators and compatibility for infinite many flows
G. Yi, X. Liao
The infinite many symmetries of Davey-Stewartson (DS) system are closely connected to the integrable deformations of surfaces in a four-dimensional space. In this paper, we give a…
On the dispersionless Davey-Stewartson hierarchy: Zakharov-Shabat equations, twistor structure and Lax-Sato formalism
G. Yi
In this paper, we continue the study of the Davey-Stewartson system which is one of the most important dimensional integrable models. As we showed in the previous paper, the…
On the dispersionless Davey-Stewartson system: Hamiltonian vector fields Lax pair and relevant nonlinear Riemann-Hilbert problem for dDS-II system
G. Yi
In this paper, the semiclassical limit of Davey-Stewartson systems are studied. It shows that these dispersionless limited integrable systems of hydrodynamic type, which are define…