12 citations · 34 across the 8 of their papers we have counts for
8 papers
Generalized Adler-Moser Polynomials and Multiple vortex rings for the Gross-Pitaevskii equation
Weiwei Ao, Yehui Huang, Yong Liu +1
New finite energy traveling wave solutions with small speed are constructed for the three dimensional Gross-Pitaevskii equation \begin{equation*} iΨ_t= ΔΨ+(1-|Ψ|^2)Ψ, \end{equation…
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…