170 citations · 1.3k across the 49 of their papers we have counts for
10 papers · 1 filter
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…
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…
Integrable semi-discretization of a multi-component short pulse equation
Bao-Feng Feng, Ken-ichi Maruno, Yasuhiro Ohta
In the present paper, we mainly study the integrable semi-discretization of a multi-component short pulse equation. Firstly, we briefly review the bilinear equations for a multi-co…
Integrable semi-discretizations of the reduced Ostrovsky equation
Bao-Feng Feng, Ken-ichi Maruno, Yasuhiro Ohta
Based on our previous work to the reduced Ostrovsky equation (J. Phys. A 45 355203), we construct its integrable semi-discretizations. Since the reduced Ostrovsky equation admits t…
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…