57 citations · 232 across the 20 of their papers we have counts for
20 papers
On the transverse stability of smooth solitary waves in a two-dimensional Camassa-Holm equation
Anna Geyer, Yue Liu, Dmitry E. Pelinovsky
We consider the propagation of smooth solitary waves in a two-dimensional generalization of the Camassa--Holm equation. We show that transverse perturbations to one-dimensional sol…
On the global existence for the modified Camassa-Holm equation via the inverse scattering method
Yiling Yang, Engui Fan, Yue Liu
In this paper, we address the existence of global solutions to the Cauchy problem of the modified Camassa-Holm (mCH) equation, which is known as a model for the unidirectional prop…
Existence of global solutions for the modified Camassa-Holm equation with a nonzero background
Yiling Yang, Engui Fan, Yue Liu
Consideration in the present paper is the existence of global solutions for the modified Camassa-Holm (mCH) equation with a nonzero background initial value. The mCH equation is co…
Pogorelov type estimates for Sum Hessian equations and a rigidity theorem
Yue Liu, Changyu Ren
We mainly study Pogorelov type estimates for solutions to the Dirichlet problem of Sum Hessian equations. We establish respectively Pogorelov type estimates for -con…
Orbital Stability of the sum of Smooth solitons in the Degasperis-Procesi Equation
Ji Li, Yue Liu, Qiliang Wu
The Degasperis-Procesi (DP) equation is an integrable Camassa-Holm-type model as an asymptotic approximation for the unidirectional propagation of shallow water waves. This work is…
Orbital Stability of smooth solitary waves for the Degasperis-Procesi Equation
Ji Li, Yue Liu, Qiliang Wu
The Degasperis-Procesi equation is the integrable Camassa-Holm-type model which is an asymptotic approximation for the unidirectional propagation of shallow water waves. This work…