42 citations · 107 across the 8 of their papers we have counts for
8 papers
Conservation laws of the generalized Riemann equations at
Binfang Gao, Kai Tain, Q. P. Liu +1
In this paper, we present infinitely many conserved densities satisfying particular conservation law for the generalized Riemann equations at . In the $N…
Symbolic Representation and Classification of N=1 Supersymmetric Evolutionary Equations
Kai Tian, Jing Ping Wang
We extend the symbolic representation to the ring of N=1 supersymmetric differential polynomials, and demonstrate that operations on the ring, such as the super derivative, Frechet…
Conservation laws and symmetries of Hunter-Saxton equation: revisited
Kai Tian, Q. P. Liu
Through a reciprocal transformation induced by the conservation law , the Hunter-Saxton (HS) equation $u_{xt} = 2uu_{2x} +…
A non-standard Lax formulation of the Harry Dym hierarchy and its supersymmetric extension
Kai Tian, Ziemowit Popowicz, Q. P. Liu
For the Harry Dym hierarchy, a non-standard Lax formulation is deduced from that of Korteweg-de Vries (KdV) equation through a reciprocal transformation. By supersymmetrizing this…
The transformations between N=2 supersymmetric KdV and HD equations
Kai Tian, Q. P. Liu
The N=2 supercomformal transformations are employed to study supersymmetric integrable systems. It is proved that two known N=2 supersymmetric Harry Dym equations are transformed i…
The Even and Odd Supersymmetric Hunter - Saxton and Liouville Equations
Q. P. Liu, Ziemowit Popowicz, Kai Tian
It is shown that two different supersymmetric extensions of the Harry Dym equation lead to two different negative hierarchies of the supersymmetric integrable equations. While the…
Supersymmetric Reciprocal Transformation and Its Applications
Q. P. Liu, Ziemowit Popowicz, Kai Tian
The supersymmetric analog of the reciprocal transformation is introduced. This is used to establish a transformation between one of the supersymmetric Harry Dym equations and the s…
A supersymmetric Sawada-Kotera equation
Kai Tian, Q. P. Liu
A new supersymmetric equation is proposed for the Sawada-Kotera equation. The integrability of this equation is shown by the existence of Lax representation and infinite conserved…