36 citations · 121 across the 11 of their papers we have counts for
11 papers
Completion of the integrable coupling systems
Yuqin Yao, Chunxia Li, Shenfeng Shen
In this paper, we proposed an procedure to construct the completion of the integrable system by adding a perturbation to the generalized matrix problem, which can be used to contin…
The generalized Kupershmidt deformation for constructing new discrete integrable systems
Yehui Huang, Runliang Lin, Yuqin Yao +1
KdV6 equation can be described as the Kupershmidt deformation of the KdV equation (see 2008, Phys. Lett. A 372: 263). In this paper, starting from the bi-Hamiltonian structure of t…
A new KP hierarchy and generalized dressing method
Yuqin Yao, Yehui Huang, Yunbo Zeng
A new (γ_n,σ_k)-KP hierarchy with two new time series γ_n and σ_k, which consists of γ_n-flow, σ_k-flow and mixed γ_n and σ_k evolution equations of eigenfunctions, is proposed. Tw…
Some new integrable systems constructed from the bi-Hamiltonian systems with pure differential Hamiltonian operators
Yuqin Yao, Yehui Huang, Yuan Wei +1
When both Hamiltonian operators of a bi-Hamiltonian system are pure differential operators, we show that the generalized Kupershmidt deformation (GKD) developed from the Kupershmid…
The new integrable deformations of short pulse equation and sine-Gordon equation, and their solutions
Yuqin Yao, Yehui Huang, Guixiang Dong +1
We first derive an integrable deformed hierarchy of short pulse equation and their Lax representation. Then we concentrated on the solution of integrable deformed short pulse equat…
A new extended matrix KP hierarchy and its solutions
Yehui Huang, Xiaojun Liu, Yuqin Yao +1
With the square eigenfunctions symmetry constraint, we introduce a new extended matrix KP hierarchy and its Lax representation from the matrix KP hierarchy by adding a new fl…