85 citations · 212 across the 6 of their papers we have counts for
6 papers
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…
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…
Mixed soliton solutions of the defocusing nonlocal nonlinear Schrodinger equation
Tao Xu, Sha Lan, Min Li +2
By using the Darboux transformation, we obtain two new types of exponential-and-rational mixed soliton solutions for the defocusing nonlocal nonlinear Schrodinger equation. We reve…
Darboux transformation and analytic solutions of the discrete \PT-symmetric nonlocal nonlinear Schrodinger equation
Tao Xu, Hengji Li, Hongjun Zhang +2
In this letter, for the discrete parity-time-symmetric nonlocal nonlinear Schrödinger equation, we construct the Darboux transformation, which provides an algebraic iterative algor…
Anti-dark and Mexican-hat solitons in the Sasa-Satsuma equation on the continuous wave background
Tao Xu, Min Li, Lu Li
In this letter, via the Darboux transformation method we construct new analytic soliton solutions for the Sasa-Satsuma equation which describes the femtosecond pulses propagation i…