4 papers · 1 filter
Interactions between rarefaction waves and dispersive shock waves in the Gerdjikov--Ivanov equation with non-convex hydrodynamics
Hua-Ying Ren, Rui Guo
This paper systematically investigates admissible configurations of the interaction between a rarefaction wave (RW) and a dispersive shock wave (DSW) by constructing a two-step pie…
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…
From Convex to Non-convex: Evolution of Rarefaction-dispersive shock interactions and the Influence of Non-convexity
Jia-Xue Niu, Rui Guo, Hua-Ying Ren +1
In this paper, we focus on the analytical description of the interaction between a rarefaction and dispersive shock wave across both convex and non-convex cases, with particular at…
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…