982 citations · 2.9k across the 45 of their papers we have counts for
46 papers
Asymptotic breathers in the Manakov system
Liming Ling, Boris A. Malomed, Yan-Hong Qin +3
We construct vector (two-component) asymptotic Akhmediev breathers in the Manakov system, matching generalized modulational-instability (gMI) eigenmodes to decaying tails of the br…
The Riemann-Hilbert approach for the integrable fractional Fokas--Lenells equation
Ling An, Liming Ling
In this paper, we propose a new integrable fractional Fokas--Lenells equation by using the completeness of the squared eigenfunctions, dispersion relation, and inverse scattering t…
Rogue waves and their patterns for the coupled Fokas-Lenells equations
Liming Ling, Huajie Su
In this work, we explore the rogue wave patterns in the coupled Fokas-Lenells equation by using the Darboux transformation. We demonstrate that when one of the internal parameters…
Elliptic-rogue waves and modulational instability in nonlinear soliton equations
Liming Ling, Xuan Sun
We present elliptic-rogue wave solutions for integrable nonlinear soliton equations in theta functions. Unlike solutions generated on the plane wave background, these solutions dep…
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…
The optical rogue wave patterns in coupled defocusing systems
Yan-Hong Qin, Liming Ling, Li-Chen Zhao
We systematically investigate rogue wave's spatial-temporal pattern in -component coupled defocusing nonlinear Schrödinger equations. The fundamental rogue wave solut…
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…
Phase Characters of Optical Dark Solitons with the Third-order Dispersion and Delayed Nonlinear Response
Yan-Hong Qin, Xiaoman Zhang, Liming Ling +1
Dark soliton is usually seen as one of the simplest topological solitons, due to the phase jump across its density dip. We investigate the phase jump properties of dark solitons in…
The multi elliptic-localized solutions and their asymptotic behaviors for the mKdV equation
Liming Ling, Xuan Sun
We mainly construct and analyze the multi elliptic-localized solutions under the background of elliptic function solutions for the focusing modified Korteweg-de Vries (mKdV) equati…
Darboux transformation and solitonic solution to the coupled complex short pulse equation
Bao-Feng Feng, Liming Ling
The Darboux transformation (DT) for the coupled complex short pulse (CCSP) equation is constructed through the loop group method. The DT is then utilized to construct various exact…
Measuring the rogue wave pattern triggered from Gaussian perturbations by deep learning
Liwen Zou, XinHang Luo, Delu Zeng +2
Weak Gaussian perturbations on a plane wave background could trigger lots of rogue waves, due to modulational instability. Numerical simulations showed that these rogue waves seeme…
Stability of elliptic function solutions for the focusing modified KdV equation
Liming Ling, Xuan Sun
We study the spectral and orbital stability of elliptic function solutions for the focusing modified Korteweg-de Vries (mKdV) equation and construct the corresponding breather solu…
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…
Multivalley dark solitons in multicomponent Bose-Einstein condensates with repulsive interactions
Yan-Hong Qin, Li-Chen Zhao, Zeng-Qiang Yang +1
We obtain multivalley dark soliton solutions with asymmetric or symmetric profiles in multicomponent repulsive Bose-Einstein condensates by developing the Darboux transformation me…
Parity-time-symmetric vector rational rogue wave solutions in any n-component nonlinear Schrödinger models
Guoqiang Zhang, Liming Ling, Zhenya Yan +1
The extreme events are investigated for an -component nonlinear Schrödinger (-NLS) system in the focusing Kerr-like nonlinear media, which appears in many physical fields. We…
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-…
Non-degenerate Bound State Solitons in Multi-component Bose-Einstein Condensates
Y. H. Qin, L. C. Zhao, L. M. Ling
We investigate non-degenerate bound state solitons systematically in multi-component Bose-Einstein condensates, through developing Darboux transformation method to derive exact sol…
A focusing and defocusing semi-discrete complex short pulse equation and its varioius soliton solutions
Bao-Feng Feng, Liming Ling, Zuonong Zhu
In this paper, we are concerned with a a semi-discrete complex short pulse (CSP) equation of both focusing and defocusing types, which can be viewed as an analogue to the Ablowitz-…
Extreme Superposition: Rogue Waves of Infinite Order and the Painlevé-III Hierarchy
Deniz Bilman, Liming Ling, Peter D. Miller
We study the fundamental rogue wave solutions of the focusing nonlinear Schrödinger equation in the limit of large order. Using a recently-proposed Riemann-Hilbert representation o…
New classes of solutions in the Coupled PT Symmetric Nonlocal Nonlinear Schrodinger Equations with Four Wave Mixing
P. S. Vinayagam, R. Radha, U. Al Khawaja +1
We investigate generalized nonlocal coupled nonlinear Schroedinger equation containing Self-Phase Modulation, Cross-Phase Modulation and Four-Wave Mixing involving nonlocal interac…
The Mechanism of Kuznetsov-Ma Breather
L. C. Zhao, L. M. Ling, Z. Y. Yang
We discuss how to understand the dynamical process of Kuznetsov-Ma breather, based on some basic physical mechanisms. It is shown that dynamical process of Kuznetsov-Ma breather in…