2 papers
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…
math-ph2025
Dynamics of the semi-discrete Gardner equation under two types of non-vanishing boundary conditions: heteropolar solitons and kinks
Jia-Xue Niu, Yan-Nan Zhao, Rui Guo +1
In this work, we will use inverse scattering transform to study the semi-discrete Gardner equation under two types of non-vanishing boundary conditions, and investigate two interes…