39 citations · 70 across the 16 of their papers we have counts for
17 papers
On a matrix constrained CKP hierarchy
Song Li, Kelei Tian, Zhiwei Wu
The algebraic structures of integrable hierarchies play an important role in the study of soliton equations. In this paper, we use splitting theory to give a matrix representation…
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…