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math.AP2024
Solitary wave solutions of the delayed KP-BBM equation
Yonghui Xia, Haojie Zhang, Hang Zheng
In this paper, we consider a kind of shallow water wave model called the Kadomtsev-Petviashvili-Benjamin-Bona-Mahony (KP-BBM) equation. We firstly consider the unperturbed KP-BBM e…
math.AP2022
Does solitary wave solution persist for the long wave equation with small perturbations?
Hang Zheng, Y-H. Xia
In this paper, persistence of solitary wave solutions of the regularized long wave equation with small perturbations are investigated by the geometric singular perturbation theory.…