3 papers
math-ph2026
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…
math-ph2026
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…
nlin.SI2024
Analytical and numerical studies for integrable and non-integrable fractional discrete modified Korteweg-de Vries hierarchies
Qin-Ling Liu, Rui Guo, Ya-Hui Huang +1
Under investigation in this paper is the fractional integrable and non-integrable discrete modified Korteweg-de Vries hierarchies. The linear dispersion relations, completeness rel…