398 citations · 1.4k across the 13 of their papers we have counts for
13 papers
Two-dimensional rogue waves on zero background of the Davey-Stewartson II equation
Lijuan Guo, Jingsong He, Lihong Wang +3
A prototypical example of a rogue wave structure in a two-dimensional model is presented in the context of the Davey-Stewartson~II (DS~II) equation arising in water waves. The anal…
Construction of rational solutions of the real modified Korteweg-de Vries equation from its periodic solutions
Qiuxia Xing, Lihong Wang, Dumitru Mihalache +2
In this paper, we consider the real modified Korteweg-de Vries (mKdV) equation and construct a special kind of breather solution, which can be obtained by taking the limit …
Generation of higher-order rogue waves from multi-breathers by double degeneracy in an optical fibre
Lihong Wang, Jingsong He, Hui Xu +1
In this paper, we construct a special kind of breather solution of the nonlinear Schrödinger (NLS) equation, the so-called breather-positon ({\it b-positon} for short), which can b…
The height of an th-order fundamental rogue wave for the nonlinear Schrödinger equation
Lihong Wang, Chenghao Yang, Ji Wang +1
The height of an th-order fundamental rogue wave for the nonlinear Schrödinger equation, namely , is proved directly by a series of row operations on…
Few-cycle optical rogue waves:complex modified Korteweg-de Vries equation
Jingsong He, Lihong Wang, Linjing Li +2
In this paper, we consider the complex modified Korteweg-de Vries (mKdV) equation as a model of few-cycle optical pulses. Using the Lax pair, we construct a generalized Darboux tra…
High-order rogue waves for the Hirota equation
Linjing Li, Zhiwei Wu, Lihong Wang +1
The Hirota equation is better than the nonlinear Schrödinger equation when approximating deep ocean waves. In this paper, high-order rational solutions for the Hirota equation are…
Breather and Rogue Wave solutions of a Generalized Nonlinear Schrodinger Equation
L. H. Wang, K. Porsezian, J. S. He
In this paper, using the Darboux transformation, we demonstrate the generation of first order breather and higher-order rogue waves from a generalized nonlinear Schrödinger equatio…
A generating mechanism for higher order rogue waves
J. S. He, H. R. Zhang, L. H. Wang +2
We introduce a mechanism for generating higher order rogue waves (HRWs) of the nonlinear Schrödinger(NLS) equation: the progressive fusion and fission of degenerate breathers a…
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…
An Efficient Algorithm of Logarithmic Transformation to Hirota Bilinear Form of KdV-type Bilinear Equation
Yichao Ye, Lihong Wang, Zhaowei Chang +1
In this paper, an efficient algorithm of logarithmic transformation to Hirota bilinear form of the KdV-type bilinear equation is established. In the algorithm, some properties of H…
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)…
Explicit Flow Equations and Recursion Operator of the ncKP hierarchy
Jingsong He, Junyi Tu, Xiaodong Li +1
The explicit expression of the flow equations of the noncommutative Kadomtsev-Petviashvili(ncKP) hierarchy is derived. Compared with the flow equations of the KP hierarchy, our res…
Recursion operators for KP, mKP and Harry-Dym Hierarchies
Jipeng Cheng, Lihong Wang, Jingsong He
In this paper, we give a unified construction of the recursion operators from the Lax representation for three integrable hierarchies: Kadomtsev-Petviashvili (KP), modified Kadomts…