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math.AP2025
On the steadiness of symmetric solutions to higher order perturbations of KdV
Long Pei, Fengyang Xiao, Pan Zhang
We consider the traveling structure of symmetric solutions to the Rosenau-Kawahara-RLW equation and the perturbed R-KdV-RLW equation. Both equations are higher order perturbations…
math.AP2024
On the steadiness of symmetric solutions to two dimensional dispersive models
Long Pei, Fengyang Xiao, Pan Zhang
In this paper, we consider the steadiness of symmetric solutions to two dispersive models in shallow water and hyperelastic mechanics, respectively. These models are derived previo…