3 citations · 3 across the 3 of their papers we have counts for
3 papers
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.…
math.AP2022★ 3 cited
Bifurcation of the traveling wave solutions in a perturbed -dimensional dispersive long wave equation via a geometric approach
Hang Zheng, Yonghui Xia
Choosing (horizontal ordinate of the saddle point associated to the homoclinic orbit) as bifurcation parameter, bifurcations of the travelling wave solutions is studied in a pe…