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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…