113 citations · 245 across the 8 of their papers we have counts for
8 papers
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…
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…
Solitary waves in the Ablowitz-Ladik equation with power-law nonlinearity
J. Cuevas-Maraver, P. G. Kevrekidis, B. A. Malomed +1
We introduce a generalized version of the Ablowitz-Ladik model with a power-law nonlinearity, as a discretization of the continuum nonlinear Schrödinger equation with the same type…
Higher-order rogue wave dynamics for a derivative nonlinear Schrödinger equation
Yongshuai Zhang, Lijuan Guo, Amin Chabchoub +1
The the mixed Chen-Lee-Liu derivative nonlinear Schrödinger equation (CLL-NLS) can be considered as simplest model to approximate the dynamics of weakly nonlinear and dispersive wa…
Darboux transformation of the second-type derivative nonlinear Schrödinger equation
Y. S. Zhang, L. J. Guo, J. S. He +1
The second-type derivative nonlinear Schrödinger (DNLSII) equation was introduced as an integrable model in 1979. Very recently, the DNLSII equation has been shown by an experiment…
Theoretical and experimental evidence of non-symmetric doubly localized rogue waves
Jingsong He, Lijuan Guo, Yongshuai Zhang +1
We present determinant expressions for vector rogue wave solutions of the Manakov system, a two-component coupled nonlinear Schrödinger equation. As special case, we generate a fam…
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…