170 citations · 1.3k across the 49 of their papers we have counts for
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Integrable discretizations for a generalized sine-Gordon equation and the reductions to the sine-Gordon equation and the short pulse equation
Han-Han Sheng, Bao-Feng Feng, Guo-Fu Yu
In this paper, we propose fully discrete analogues of a generalized sine-Gordon (gsG) equation . The bilinear equations of the discrete…
Rogue waves and their patterns in the vector nonlinear Schrödinger equation
Guangxiong Zhang, Peng Huang, Bao-Feng Feng +1
In this paper, we study the general rogue wave solutions and their patterns in the vector (or -component) nonlinear Schrödinger (NLS) equation. By applying the Kadomtsev-Petvias…
Rogue waves in the massive Thirring model
Junchao Chen, Bo Yang, Bao-Feng Feng
In this paper, general rogue wave solutions in the massive Thirring (MT) model are derived by using the Kadomtsev-Petviashvili (KP) hierarchy reduction method and these rational so…
General rogue wave solutions to the Sasa-Satsuma equation
Chengfa Wu, Guangxiong Zhang, Changyan Shi +1
General rogue wave solutions to the Sasa-Satsuma equation are constructed by the Kadomtsev-Petviashvili (KP) hierarchy reduction method. These solutions are presented in three diff…
General rogue wave solutions to the discrete nonlinear Schrödinger equation
Yasuhiro Ohta, Bao-Feng Feng
In the present paper, we attempt to construct both the general rogue wave solutions to the fully discrete nonlinear Schrödinger (fd-NLS) equation via the KP-Toda reduction method.…
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…
Multi-breather solutions to the Sasa-Satsuma equation
Chengfa Wu, Bo Wei, Changyan Shi +1
General breather solution to the Sasa-Satsuma (SS) equation is systematically investigated in this paper. We firstly transform the SS equation into a set of three Hirota bilinear e…
Darboux transformation and solitonic solution to the coupled complex short pulse equation
Bao-Feng Feng, Liming Ling
The Darboux transformation (DT) for the coupled complex short pulse (CCSP) equation is constructed through the loop group method. The DT is then utilized to construct various exact…
An integrable semi-discretization of the modified Camassa-Holm equation with linear dispersion term
Han-Han Sheng, Guo-Fu Yu, Bao-Feng Feng
In the present paper, we are concerned with integrable discretization of a modified Camassa-Holm equation with linear dispersion term. The key of the construction is the semi-discr…
A focusing and defocusing semi-discrete complex short pulse equation and its varioius soliton solutions
Bao-Feng Feng, Liming Ling, Zuonong Zhu
In this paper, we are concerned with a a semi-discrete complex short pulse (CSP) equation of both focusing and defocusing types, which can be viewed as an analogue to the Ablowitz-…
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…
General soliton solution to a nonlocal nonlinear Schrödinger equation with zero and nonzero boundary conditions
Bao-Feng Feng, Xu-Dan Luo, Mark J. Ablowitz +1
General soliton solutions to a nonlocal nonlinear Schrödinger (NLS) equation with PT-symmetry for both zero and nonzero boundary conditions {are considered} via the combination of…
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.…
-Bright-Dark Soliton Solution to a Semi-Discrete Vector Nonlinear Schrödinger Equation
Bao-Feng Feng, Yasuhiro Ohta
In this paper, a general bright-dark soliton solution in the form of Pfaffian is constructed for an integrable semi-discrete vector NLS equation via Hirota's bilinear method. One-…
General soliton solutions to a coupled Fokas-Lenells equation
Liming Ling, Bao-Feng Feng, Zuonong Zhu
In this paper, we firstly establish the multi-Hamiltonian structure and infinite many conservation laws for the vector Kaup-Newell hierarchy of the positive and negative orders. Th…
A two-component generalization of the reduced Ostrovsky equation and its integrable semi-discrete analogue
Bao-Feng Feng, Ken-ichi Maruno, Yasuhiro Ohta
In the present paper, we propose a two-component generalization of the reduced Ostrovsky equation, whose differential form can be viewed as the short-wave limit of a two-component…
Geometric formulation and multi-dark soliton solution to the defocusinig complex short pulse equation
Bao-Feng Feng, Ken-ichi Maruno, Yasuhiro Ohta
In the present paper, we study the defocusing complex short pulse (CSP) equations both geometrically and algebraically. From the geometric point of view, we establish a link of the…
Multi-soliton, multi-breather and higher-order rogue wave solutions to the complex short pulse equation
Liming Ling, Bao-Feng Feng, Zuonong Zhu
In the present paper, we are concerned with the general localized solutions for the complex short pulse equation including soliton, breather and rogue wave solutions. With the aid…
A defocusing complex short pulse equation and its multi-dark soliton solution by Darboux transformation
Bao-Feng Feng, Liming Ling, Zuonong Zhu
In this paper, we propose a complex short pulse equation of both focusing and defocusing types, which governs the propagation of ultra-short pulses in nonlinear optical fibers. It…
An integrable semi-discrete Degasperis-Procesi equation
Bao-Feng Feng, Ken-ichi Maruno, Yasuhiro Ohta
Based on our previous work to the Degasperis-Procesi equation (J. Phys. A 46 045205) and the integrable semi-discrete analogue of its short wave limit (J. Phys. A 48 135203), we de…
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…
Multi-soliton solution to the two-component Hunter-Saxton equation
Bao-Feng Feng, Senyue Lou, Ruoxia Yao
In this paper, we study the bilinear form and the general N-soliton solution for a two-component Hunter-Saxton (2-HS) equation, which is the short wave limit of a twocomponent Cama…
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…