91 citations · 145 across the 13 of their papers we have counts for
13 papers
Long-time asymptotics of the integrable defocusing Wadati-Konno-Ichikawa equation with a finite-genus algebro-geometric background
Taohua Luo, Zhenya Yan, Guoqiang Zhang
We study the finite-genus algebro-geometric solutions of the Wadati-Konno-Ichikawa (WKI) equation with the saturable nonlinearity and long-time asymptotic behaviors of their short-…
On the global well-posedness for the nonlocal Fokas-Lenells equation with the weighted Sobolev initial data on the line
Zhenya Yan, Guoqiang Zhang, Guancheng Zhu
We establish the global well-posedness of the Cauchy problem for the reverse space-time nonlocal Fokas-Lenells equation with the weighted Sobolev initial data $q_0(x)\in H^{3}(\mat…
Long-time asymptotic behavior for the defocusing Hirota equation on a finite-genus algebro-geometric background
Taohua Luo, Zhenya Yan, Guoqiang Zhang
In this paper, we investigate the long-time asymptotics for the solution of the Cauchy problem of the defocusing Hirota equation on a finite-genus algebro-geometric background in t…
Long-time asymptotics for the -soliton solution to the KdV equation with two types of generalized reflection coefficients
Guoqiang Zhang, Zhenya Yan
We systematically investigate the long-time asymptotics for the -soliton solution to the KdV equation in the different regions with the aid of the Riemann-Hilbert (RH)…
Rigorous analysis of large-space and long-time asymptotics for the short-pulse soliton gases
Guoqiang Zhang, Weifang Weng, Zhenya Yan
We rigorously analyze the asymptotics of soliton gases to the short-pulse (SP) equation. The soliton gas is formulated in terms of a RH problem, which is derived from the RH proble…
On Large-Space and Long-Time Asymptotic Behaviors of Kink-Soliton Gases in the Sine-Gordon Equation
Guoqiang Zhang, Weifang Weng, Zhenya Yan
We conduct a comprehensive analysis of the large-space and long-time asymptotics of kink-soliton gases in the sine-Gordon (sG) equation, addressing an important open problem highli…
Breather gas and shielding for the focusing nonlinear Schrödinger equation with nonzero backgrounds
Weifang Weng, Guoqiang Zhang, Boris A. Malomed +1
Breathers have been experimentally and theoretically found in many physical systems -- in particular, in integrable nonlinear-wave models. A relevant problem is to study the \texti…
The focusing complex mKdV equation with nonzero background: Large -order asymptotics of multi-rational solitons and related Painlevé-III hierarchy
Weifang Weng, Guoqiang Zhang, Zhenya Yan
In this paper, we investigate the large-order asymptotics of multi-rational solitons of the focusing complex modified Korteweg-de Vries (c-mKdV) equation with nonzero background vi…
Dynamics of fractional N-soliton solutions with anomalous dispersions of integrable fractional higher-order nonlinear Schrödinger equations
Weifang Weng, Minghe Zhang, Zhenya Yan
In this paper, we explore the anomalous dispersive relations, inverse scattering transform and fractional N-soliton solutions of the integrable fractional higher-order nonlinear Sc…
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…
Inverse scattering transforms and N-double-pole solutions for the derivative NLS equation with zero/non-zero boundary conditions
Guoqiang Zhang, Zhenya Yan
We systematically report a rigorous theory of the inverse scattering transforms (ISTs) for the derivative nonlinear Schrodinger (DNLS) equation with both zero boundary condition (Z…
Inverse scattering transforms for the focusing and defocusing mKdV equations with nonzero boundary conditions
Guoqiang Zhang, Zhenya Yan
We explore systematically a rigorous theory of the inverse scattering transforms with matrix Riemann-Hilbert problems for both focusing and defocusing modified Korteweg-de Vries (m…
A unified inverse scattering transform and soliton solutions of the nonlocal modified KdV equation with non-zero boundary conditions
Guoqiang Zhang, Zhenya Yan
We present a rigorous theory of a unified and simple inverse scattering transform (IST) for both focusing and defocusing real nonlocal (reverse-space-time) modified Korteweg-de Vri…