280 citations · 816 across the 13 of their papers we have counts for
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Generating mechanism and dynamic of the smooth positons for the derivative nonlinear Schrödinger equation
Wenjuan Song, Shuwei Xu, Maohua Li +1
Based on the degenerate Darboux transformation, the -order smooth positon solutions for the derivative nonlinear Schrödinger equation are generated by means of the general deter…
The rational solutions of the mixed nonlinear Schrödinger equation
Jingsong He, Shuwei Xu, Yi Cheng
The mixed nonlinear Schrödinger (MNLS) equation is a model for the propagation of the Alfvén wave in plasmas and the ultrashort light pulse in optical fibers with two nonlinear eff…
State transition induced by self-steepening and self phase-modulation
J. S. He, S. W. Xu, M. S. Ruderman +1
We present a rational solution for a mixed nonlinear Schrödinger (MNLS) equation. This solution has two free parameters and representing the contributions of self-steepenin…
The higher order Rogue Wave solutions of the Gerdjikov-Ivanov equation
Lijuan Guo, Yongshuai Zhang, Shuwei Xu +2
We construct higher order rogue wave solutions for the Gerdjikov-Ivanov equation explicitly in term of determinant expression. Dynamics of both soliton and non-soliton solutions is…
The hierarchy of higher order solutions of the derivative nonlinear Schrödinger equation
Yongshuai Zhang, Lijuan Guo, Shuwei Xu +2
In this paper, we provide a simple method to generate higher order position solutions and rogue wave solutions for the derivative nonlinear Schrödinger equation. The formulae of th…
The n-order rogue waves of Fokas-Lenells equation
Shuwei Xu, Jingsong He, Yi Cheng +1
Considering certain terms of the next asymptotic order beyond the nonlinear Schrodinger equation (NLS) equation, the Fokas-Lenells (FL) equation governed by the FL system arise as…
N-order bright and dark rogue waves in a Resonant erbium-doped Fibre system
Jingsong He, Shuwei Xu, K. Porseizan
The rogue waves in a resonant erbium-doped fibre system governed by a coupled system of the nonlinear Schrödinger equation and the Maxwell-Bloch equation (NLS-MB equations) are giv…
Rogue waves of the Fokas-Lenells equation
Jingsong He, Shuwei Xu, Kuppuswamy Porsezian
The Fokas-Lenells (FL) equation arises as a model eqution which describes for nonlinear pulse propagation in optical fibers by retaining terms up to the next leading asymptotic ord…
Two kinds of rogue waves of the general nonlinear Schrödinger equation with derivative
Shuwei Xu, Jingsong He, Lihong Wang
In this letter,the designable integrability(DI) of the variable coefficient derivative nonlinear Schrödinger equation (VCDNLSE) is shown by construction of an explicit transformati…
The Rogue Wave and breather solution of the Gerdjikov-Ivanov equation
Shuwei Xu, Jingsong He
The Gerdjikov-Ivanov (GI) system of and is defined by a quadratic polynomial spectral problem with matrix coefficients. Each element of the matrix of n-fold Da…
The Darboux transformation of the derivative nonlinear Schrödinger equation
Shuwei Xu, Jingsong He, Lihong Wang
The n-fold Darboux transformation (DT) is a 2\times2 matrix for the Kaup-Newell (KN) system. In this paper,each element of this matrix is expressed by a ratio of $(n+1)\times (n+1)…