131 citations · 244 across the 12 of their papers we have counts for
12 papers
Symmetric PINN for integrable nonlocal equations: Forward and inverse problems
Wei-Qi Peng, Yong Chen
Since the -symmetric nonlocal equations contain the physical information of the -symmetric, it is very appropriate to embed the physical information of the -symmetric i…
Long-time asymptotics for the Elastic Beam equation in the solitonless region via methods
Wei-Qi Peng, Yong Chen
In this work, we study the Cauchy problem of the Elastic Beam equation with initial value in weighted Sobolev space via the -steepset descent…
Long time and Painlevé-type asymptotics for the defocusing Hirota equation with finite density initial data
Wei-Qi Peng, Yong Chen
In this work, we consider the Cauchy problem for the defocusing Hirota equation with a nonzero background \begin{align} \begin{cases} iq_{t}+α\left[q_{xx}-2\left(\left\vert q\right…
Long-time asymptotics for the integrable nonlocal Lakshmanan-Porsezian-Daniel equation with decaying initial value problem
Wei-Qi Peng, Yong Chen
In this work, we study the Cauchy problem of integrable nonlocal Lakshmanan-Porsezian-Daniel equation with rapid attenuation of initial data. The basis Riemann-Hilbert problem of i…
Long-time asymptotics for a fourth-order dispersive nonlinear Schrödinger equation with nonzero boundary conditions
Weiqi Peng, Yong Chen
In this work, we consider the long-time asymptotics for the Cauchy problem of a fourth-order dispersive nonlinear Schrödinger equation with nonzero boundary conditions at infinity.…
Long-time asymptotics for the reverse space-time nonlocal Hirota equation with decaying initial value problem: Without solitons
Wei-Qi Peng, Yong Chen
In this work, we mainly consider the Cauchy problem for the reverse space-time nonlocal Hirota equation with the initial data rapidly decaying in the solitonless sector. Start from…
-double poles solutions for nonlocal Hirota equation with nonzero boundary conditions using Riemann-Hilbert method and PINN algorithm
Wei-Qi Peng, Yong Chen
We systematically investigate the nonlocal Hirota equation with nonzero boundary conditions via Riemann-Hilbert method and multi-layer physics-informed neural networks algorithm. S…
The data-driven localized wave solutions of the derivative nonlinear Schrodinger equation by using improved PINN approach
Juncai Pu, Weiqi Peng, Yong Chen
The research of the derivative nonlinear Schrodinger equation (DNLS) has attracted more and more extensive attention in theoretical analysis and physical application. The improved…
PINN deep learning for the Chen-Lee-Liu equation: Rogue wave on the periodic background
Weiqi Peng, Juncai Pu, Yong Chen
We consider the exact rogue periodic wave (rogue wave on the periodic background) and periodic wave solutions for the Chen-Lee-Liu equation via the odd-th order Darboux transformat…
Double and triple poles solutions for the Gerdjikov-Ivanov type of derivative nonlinear Schrödinger equation with zero/nonzero boundary conditions
Weiqi Peng, Yong Chen
In this work, the double and triple poles soliton solutions for the Gerdjikov-Ivanov(GI) type of derivative nonlinear Schrödinger equation with zero boundary conditions(ZBCs) and n…
Bound-state soliton and rogue wave solutions for the sixth-order nonlinear Schrödinger equation via inverse scattering transform method
Weiqi Peng, Yong Chen
In this work, inverse scattering transform for the sixth-order nonlinear Schrödinger equation with both zero and nonzero boundary conditions at infinity is given, respectively. For…
Long-time asymptotics in the modified Landau-Lifshitz equation with nonzero boundary conditions
Wei-Qi Peng, Shou-Fu Tian
In this work, we consider the long-time asymptotics of the modified Landau-Lifshitz equation with nonzero boundary conditions (NZBCs) at infinity. The critical technique is the def…