982 citations · 2.9k across the 45 of their papers we have counts for
6 papers · 1 filter
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…