4 citations · 4 across the 7 of their papers we have counts for
7 papers
Planar Gross--Pitaevskii traveling waves at every subsonic speed
Changfeng Gui, Shanfa Lai, Guolin Qin +1
For every subsonic speed , we prove the existence of a finite-energy traveling wave for the planar Gross--Pitaevskii equation. This resolves the longstanding proble…
Stability of Solitary Capillary-Gravity Water Waves in Three Dimensions
Changfeng Gui, Shanfa Lai, Yong Liu +2
This paper establishes the conditional orbital stability of fully localized solitary waves for the three-dimensional capillary-gravity water wave problem in finite depth under stro…
From KP-I Lump Solution to Travelling wave of 3D Gravity Capillary Water wave problem
Changfeng Gui, Shanfa Lai, Yong Liu +2
In this paper, we study the three-dimensional gravity-capillary water wave problem involving an irrotational, perfect fluid with gravity and surface tension. We focus on steady wav…
Stable solutions of Yang-Mills-Higgs model in
Yong Liu, Juncheng Wei, Zikai Ye
We give a positive answer to the conjecture of Liu-Ma-Wei-Wu in \cite{LMWW} that the family of entire solutions to the -Yang-Mills-Higgs equation constructed by the gluing me…
Lump type solutions: Backlund transformation and spectral properties
Yong Liu, Jun-cheng Wei, Wen Yang
There are various different ways to obtain traveling waves of lump type for the KP equation. We propose a general and simple approach to derive them via a Backlund transformation.…
Uniqueness of lump solutions of KP-I equation
Yong Liu, Jun-cheng Wei, Wen Yang
The KP-I equation has family of solutions which decay to zero at space infinity. One of these solutions is the classical lump solution. This is a traveling wave, and the KP-I equat…
Nondegeneracy, Morse Index and Orbital Stability of the Lump Solution to the KP-I Equation
Yong Liu, Juncheng Wei
Let be the lump solution of the KP-I equation We show that this solution…