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13 papers · 1 filter
Bilinear identities for an extended B-type Kadomtsev-Petviashvili hierarchy
Runliang Lin, Tiancheng Cao, Xiaojun Liu +1
In this paper, we construct the bilinear identities for the wave functions of an extended B-type Kadomtsev-Petviashvili (BKP) hierarchy, which contains two types of (2+1)-dimension…
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…
Bilinear Identities and Hirota's Bilinear Forms for an Extended Kadomtsev-Petviashvili Hierarchy
Runliang Lin, Xiaojun Liu, Yunbo Zeng
In this paper, we construct the bilinear identities for the wave functions of an extended Kadomtsev-Petviashvili (KP) hierarchy, which is the KP hierarchy with particular extended…
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…