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20112019
most citedThe Darboux transformation of the derivative nonlinear Schrödinger equation

280 citations · 816 across the 13 of their papers we have counts for

collaborators

13 papers

math.OC2019★ 1 cited

Stochastic Real-time Power Dispatch with Large-scale Wind Power Integration and its Analytical solution

Shuwei Xu, Wenchuan Wu, Yue Yang +2

Real-time power dispatch (RTD) can coordinate wind farms, automatic generation control (AGC) units and non AGC units. In RTD, the probable wind power forecast errors (WPFE) should…

nlin.SI2019★ 35 cited

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…

nlin.PS2016★ 39 cited

Rogue wave triggered at a critical frequency of a nonlinear resonant medium

Jingsong He, Shuwei Xu, K. Porsezian +2

We consider a two-level atomic system, interacting with an electromagnetic field controlled in amplitude and frequency by a high intensity laser. We show that the amplitude of the…

nlin.SI2014★ 2 cited

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…

nlin.SI2013★ 16 cited

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…

nlin.SI2013★ 113 cited

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…

nlin.SI2013★ 5 cited

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…

nlin.SI2012★ 5 cited

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…

nlin.SI2012

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…

nlin.SI2012★ 121 cited

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…

nlin.SI2012★ 40 cited

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…

nlin.SI2011★ 159 cited

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…

nlin.SI2011★ 280 cited

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)…