183 citations · 287 across the 11 of their papers we have counts for
11 papers
Long-time asymptotics of the coupled nonlinear Schödinger equation in a weighted Sobolev space
Yubin Huang, Liming Ling, Xiaoen Zhang
We study the Cauchy problem for the focusing coupled nonlinear Schrödinger (CNLS) equation with initial data lying in the weighted Sobolev space and the scattering d…
A modified Korteweg-de Vries equation soliton gas under the nonzero background
Xiaoen Zhang, Liming Ling
In this paper, we consider a soliton gas of the focusing modified Korteweg-de Vries generated from the -soliton solutions under the nonzero background. The spectral soliton dens…
Inverse scattering transform for the integrable fractional derivative nonlinear Schrödinger equation
Ling An, Liming Ling, Xiaoen Zhang
In this paper, we explore the integrable fractional derivative nonlinear Schrödinger (fDNLS) equation by using the inverse scattering transform. Firstly, we start from the recursio…
On the large-order asymtptics of Kuznetsov-Ma breathers
Liming Ling, Xiaoen Zhang
We study the large-order asymptotics for the Kuznetsov-Ma breather of the nonlinear Schrödinger equation in the far-field regime. With the aid of Darboux transformation, we first d…
Nondegenerate solitons in the integrable fractional coupled Hirota equation
Ling An, Liming Ling, Xiaoen Zhang
In this paper, based on the nonlinear fractional equations proposed by Ablowitz, Been, and Carr in the sense of Riesz fractional derivative, we explore the fractional coupled Hirot…
Large order breathers of the nonlinear Schrödinger equation
Liming Ling, Xiaoen Zhang
Multi-soliton and high-order soliton solutions are two type of famous ones in the integrable focusing nonlinear Schrödinger equation. The dynamics of multi-soliton was well known t…
Kadomtsev-Petviashvili equation: one-constraint method and lump pattern
Jie-Yang Dong, Liming Ling, Xiaoen Zhang
The Kadomtsev-Petviashvili reduction method is a crucial method to derive the solitonic solutions of (1+1) dimensional integrable system from high dimensional system. In this work,…
Large and infinite order solitons of the coupled nonlinear Schrödinger equation
Liming Ling, Xiaoen Zhang
We study the large order and infinite order soliton of the coupled nonlinear Schrodinger equation with the Riemann-Hilbert method. By using the Riemann-Hilbert representation for t…
Asymptotic analysis of high order soliton for the Hirota equation
Xiaoen Zhang, Liming Ling
In this paper, we mainly analyze the long-time asymptotics of high-order soliton for the Hirota equation. Two different Riemann-Hilbert representations of Darboux matrix with high-…
General high-order rogue wave to NLS-Boussinesq equation with the dynamical analysis
Xiaoen Zhang, Yong Chen
General high-order rogue waves of the NLS-Boussinesq equation are obtained by the KP-hierarchy reduction theory. These rogue waves are expressed with the determinants, whose entrie…
Rogue wave and a pair of resonance stripe solitons to a reduced generalized (3+1)-dimensional KP equation
Xiaoen Zhang, Yong Chen, Xiaoyan Tang
Based on the bilinear operator and symbol calculation, some lump solutions are presented, rationally localized in all directions in the space, to a reduced (3+1)-dimensional KP equ…