5 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…