64 citations · 201 across the 12 of their papers we have counts for
12 papers
Integrable discrete massive Thirring model
Junchao Chen, Bao-Feng Feng
In this paper, we are concerned with integrable semi- and fully discrete analogues of the massive Thirring model in light core coordinates. By using the Hirota's bilinear approach…
General bright and dark soliton solutions to the massive Thirring model via KP hierarchy reductions
Junchao Chen, Bao-Feng Feng
In the present paper, we are concerned with the tau function and its connection with the Kadomtsev-Petviashvili (KP) theory for the massive Thirring (MT) model. First, we bilineari…
High-order rogue waves of a long wave-short wave model
Junchao Chen, Liangyuan Chen, Bao-Feng Feng +1
The long wave-short wave model describes the interaction between the long wave and the short wave. Exact higher-order rational solution expressed by determinants is calculated via…
Breather to the Yajima-Oikawa system
Junchao Chen, Yong Chen, Bao-Feng Feng +1
The Yajima-Oikawa (YO) system describes the resonant interaction between long and short waves under certain condition. In this paper, through the KP hierarchy reduction, we constru…
General high-order rogue waves of the (1+1)-dimensional Yajima-Oikawa system
Junchao Chen, Yong Chen, Bao-Feng Feng +2
General high-order rogue wave solutions for the (1+1)-dimensional Yajima-Oikawa (YO) system are derived by using Hirota's bilinear method and the KP-hierarchy reduction technique.…
General -Dark Soliton Solutions of the Multi-Component Mel'nikov System
Zhon Han, Yong Chen, Junchao Chen
A general form of -dark soliton solutions of the multi-component Mel'nikov system is presented. Taking the coupled Mel'nikov system comprised of two-component short waves and on…
An integrable semi-discretization of the coupled Yajima--Oikawa system
Junchao Chen, Yong Chen, Bao-Feng Feng +2
In the present paper, an integrable semi-discrete analogue of the one-dimensional coupled Yajima--Oikawa system, which is comprised of multicomponent short-wave and one component l…
Integrable discretizations and self-adaptive moving mesh method for a coupled short pulse equation
Bao-Feng Feng, Junchao Chen, Yong Chen +2
In the present paper, integrable semi-discrete and fully discrete analogues of a coupled short pulse (CSP) equation are constructed. The key of the construction is the bilinear for…
General Mixed Multi-Soliton Solutions to One-Dimensional Multicomponent Yajima-Oikawa System
Junchao Chen, Yong Chen, Bao-Feng Feng +1
In this paper, we derive a general mixed (bright-dark) multi-soliton solution to a one-dimensional multicomponent Yajima-Oikawa (YO) system, i.e., the (M+1)-component YO system com…
Multi-dark soliton solutions of the two-dimensional multi-component Yajima-Oikawa systems
Junchao Chen, Yong Chen, Bao-Feng Feng +1
We present a general form of multi-dark soliton solutions of two-dimensional multi-component soliton systems. Multi-dark soliton solutions of the two-dimensional (2D) and one-dimen…
Rational solutions to multicomponent Yajima-Oikawa systems: from two dimension to one dimension
Junchao Chen, Yong Chen, Bao-Feng Feng +1
Exact explicit rational solutions of two- and one- dimensional multicomponent Yajima-Oikawa (YO) systems, which contain multi-short-wave components and single long-wave one, are pr…
Non-local symmetries of the Hirota-Satsuma coupled KdV system and their applications
Junchao Chen, Xiangpeng Xin, Yong Chen
The nonlocal symmetry is derived from the known Darboux transformation (DT) of the Hirota-Satsuma coupled KdV (HS-cKdV) system, and infinitely many nonlocal symmetries are obtained…