60 citations · 227 across the 14 of their papers we have counts for
14 papers
Discrete Darboux system with self-consistent sources and its symmetric reduction
Adam Doliwa, Runliang Lin, Zhe Wang
The discrete non-commutative Darboux system of equations with self-consistent sources is constructed, utilizing both the vectorial fundamental (binary Darboux) transformation and t…
On a surface isolated by Gambier
Runliang Lin, Robert Conte
We provide a Lax pair for the surfaces of Voss and Guichard, and we show that such particular surfaces considered by Gambier are characterized by a third Painlevé function.
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…
Discrete KP equation with self-consistent sources
Adam Doliwa, Runliang Lin
We show that the discrete Kadomtsev-Petviashvili (KP) equation with sources obtained recently by the "source generalization" method can be incorporated into the squared eigenfuncti…
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…