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math-ph2026
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…
math-ph2026
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…
math-ph2024
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…