85 citations · 331 across the 17 of their papers we have counts for
17 papers
Inverse scattering theory for the discrete PT-symmetric nonlocal nonlinear Schröinger equation under arbitrarily large nonzero boundary conditions
Chuanxin Xu, Tao Xu
In this paper, the theory of inverse scattering transform (IST) is developed for the discrete PT-symmetric nonlocal nonlinear Schröinger equation under large nonzero boundary condi…
RAR-PINN algorithm for the data-driven vector-soliton solutions and parameter discovery of coupled nonlinear equations
Shu-Mei Qin, Min Li, Tao Xu +1
This work aims to provide an effective deep learning framework to predict the vector-soliton solutions of the coupled nonlinear equations and their interactions. The method we prop…
Rational solutions of the defocusing nonlocal nonlinear Schrodinger equation: Asymptotic analysis and soliton interactions
Tao Xu, Lingling Li, Min Li +2
In this paper, we obtain the Nth-order rational solutions for the defocusing nonlocal nonlinear Schrodinger equation by the Darboux transformation and some limit technique. Then, v…
Darboux transformation and soliton solutions of the semi-discrete massive Thirring model
Tao Xu, Dmitry E. Pelinovsky
A one-fold Darboux transformation between solutions of the semi-discrete massive Thirring model is derived using the Lax pair and dressing methods. This transformation is used to f…
General stationary solutions of the nonlocal nonlinear Schrödinger equation and their relevance to the PT-symmetric system
Tao Xu, Yang Chen, Min Li +1
With the stationary solution assumption, we establish the connection between the nonlocal nonlinear Schrödinger (NNLS) equation and an elliptic equation. Then, we obtain the genera…
Multi-dark soliton solutions for the multi-component coupled Maccari system
Tao Xu, Yong Chen
Based on the KP hierarchy reduction method, the general multi-dark soliton solutions in Gram type determinant forms for the multi-component coupled Maccari system are constructed.…