Publications (14)
The q-deformed mKP hierarchy with self-consistent sources, Wronskian solutions and solitons
Runliang Lin, Hua Peng, Manuel Manas
Based on the eigenfunction symmetry constraint of the q-deformed modified KP hierarchy, a q-deformed mKP hierarchy with self-consistent sources (-mKPHSCSs) is constructed. The q…
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…
A Generalized Dressing Approach for Solving the Extended KP and the Extended mKP Hierarchy
Xiaojun Liu, Runliang Lin, Bo Jin +1
A combination of dressing method and variation of constants as well as a formula for constructing the eigenfunction is used to solve the extended KP hierarchy, which is a hierarchy…
A new multi-component two dimensional Toda lattice hierarchy and two dimensional Toda lattice with self-consistent sources
Xiaojun Liu, Yunbo Zeng, Runliang Lin
We propose a new multi-component two-dimensional Toda lattice hierarchy (mc2dTLH) which includes two-dimensional Toda lattice equation with self-consistent sources (2dTLSCS) as the…
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…
Higher Order Potential Expansion for the Continuous Limits of the Toda Hierarchy
Runliang Lin, Wen-Xiu Ma, Yunbo Zeng
A method for introducing the higher order terms in the potential expansion to study the continuous limits of the Toda hierarchy is proposed in this paper. The method ensures that t…