201 citations · 383 across the 9 of their papers we have counts for
9 papers
Long-time asymptotic analysis for defocusing Ablowitz-Ladik system with initial value in lower regularity
Chen Meisen, Fan Engui, He Jingsong
Recently, we have given the bijectivity for defocusing Ablowitz-Ladik systems in the discrete Sobolev space by inverse spectral method. Based on these results, the…
Asymptotic dynamics of higher-order lumps in the Davey-Stewartson II equation
Lijuan Guo, P. G. Kevrekidis, Jingsong He
A family of higher-order rational lumps on non-zero constant background of Davey-Stewartson (DS) II equation are investigated. These solutions have multiple peaks whose heights and…
Weakly integrable Camassa-Holm-type equations
Peilong Dong, Zhiwei Wu, Jingsong He
Series of deformed Camassa-Holm-type equations are constructed using the Lagrangian deformation and Loop algebra splittings. They are weakly integrable in the sense of modified Lax…
New Hierarchies of Derivative nonlinear Schrödinger-Type Equation
Zhiwei Wu, Jingsong He
We generate hierarchies of derivative nonlinear Schrödinger-type equations and their nonlocal extensions from Lie algebra splittings and automorphisms. This provides an algebraic e…
Rogue waves in a resonant erbium-doped fiber system with higher-order effects
Yu Zhang, Chuanzhong Li, Jingsong He
We mainly investigate a coupled system of the generalized nonlinear Schrödinger equation and the Maxwell-Bloch equations which describes the wave propagation in an erbium-doped non…
On Rogue wave in the Kundu-DNLS equation
Shibao Shan, Chuanzhong Li, Jingsong He
In this paper, the determinant representation of the n-fold Darboux transformation (DT) of the Kundu-DNLS equation is given. Based on our analysis, the soliton solutions, positon s…
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…
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…