5 papers
An adaptive weighted extrapolation neural network for dispersive shock waves generated by square-root initial condition of the KdV equation
Xuan-Jie Wang, Rui Guo, An-Yao Jin +1
Simulating dispersive shock waves (DSWs) using physics-informed neural networks (PINNs) presents significant numerical difficulties. In particular, the square-root initial conditio…
Optical dispersive shock waves of initial pulses in optical fibers with high-order dispersion and quintic nonlinearity effects
Hua-Ying Ren, Rui Guo, Jian-Wen Zhang
This paper probes the dispersive shock waves (DSWs) theory in nonlinear optical systems through Whitham modulation theory for the high-order Chen-Lee-Liu (HOCLL) equation. We syste…
Inverse scattering transform for the discrete nonlocal PT symmetric nonlinear Schrödinger equation with nonzero boundary conditions
Ya-Hui Liu, Rui Guo, Jian-Wen Zhang
In this paper, the inverse scattering transform for the integrable discrete nonlocal PT symmetric nonlinear Schrödinger equation with nonzero boundary conditions is presented. Acco…
The Riemann-Hilbert approach for the nonlocal derivative nonlinear Schrödinger equation with nonzero boundary conditions
Xin-Yu Liu, Rui Guo
In this paper, the nonlocal reverse space-time derivative nonlinear Schrödinger equation under nonzero boundary conditions is investigated using the Riemann-Hilbert (RH) approach.…
The semi-discrete complex modified Korteweg-de Vries equation with zero and non-zero boundary conditions: Riemann-Hilbert approach and N-soliton solutions
Bo-Jie Deng, Rui Guo, Jian-Wen Zhang
We focus on the semi-discrete complex modified Korteweg-de Vries (DcmKdV) equation in this paper. The direct and inverse scattering theory is developed with zero and non-zero bound…