2 citations · 2 across the 6 of their papers we have counts for
8 papers
Higher-order semi-rational solutions of the (2+1)-dimensional nonlocal multi-component Yajima--Oikawa system
Wenqiang Lu, Kelei Tian, Ying Xu +2
Higher-order semi-rational solutions are constructed for the (2+1)-dimensional nonlocal multi-component Yajima-Oikawa system. This system is obtained from its local \(2M\)-componen…
The (3+1)-dimensional dispersionless integrable hierarchy and nonlinear Riemann-Hilbert problem associated with the Doubrov-Ferapontov modified heavenly equation
Ge Yi, Bowen Sun, Kelei Tian +1
According to the classification of integrable complex Monge-Ampere equations by Doubrov and Ferapontov, the modified heavenly equation is a typical (3+1)-dimensional dispersionless…
On one typical Einstein-Weyl equation: inverse spectral transform for theCauchy problem, longtime behaviour of the solutions and implicit solutions
Ge Yi, Zikai Chen, Kelei Tian +1
In this paper, we study one typical Einstein-Weyl equation. It arises from Ferapontov and Kruglikov's investigation on the integrability of several dispersionless partial different…
The integrable hierarchy and the nonlinear Riemann-Hilbert problem associated with one typical Einstein-Weyl physico-geometric dispersionless system
Ge Yi, Tangna Lv, Kelei Tian +1
From a specific series of exchange conditions for a one-parameter Hamiltonian vector field, we establish an integrable hierarchy using Lax pairs derived from the dispersionless par…
On the c-k constrained KP and BKP hierarchies: the Fermionic pictures, solutions and additional symmetries
Kelei Tian, Song Li, Ge Yi +2
In this paper, we study two generalized constrained integrable hierarchies, which are called the - constrained KP and BKP hierarchies. The Fermionic picture of the - co…
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…