16 citations · 33 across the 10 of their papers we have counts for
10 papers
Asymptotic stability and classification of multi-solitons for Klein-Gordon equations
Gong Chen, Jacek Jendrej
Focusing on multi-solitons for the Klein-Gordon equations, in first part of this paper, we establish their conditional asymptotic stability. In the second part of this paper, we cl…
On the d cubic NLS with a non-generic potential
Gong Chen, Fabio Pusateri
We consider the cubic nonlinear Schrödinger equation with an external potential that is non-generic. Without making any parity assumption on the data, but assuming that th…
Kink networks for scalar fields in dimension 1+1
Gong Chen, Jacek Jendrej
We consider a scalar field equation in dimension with a positive external potential having non-degenerate isolated zeros. We construct weakly interacting pure multi-solitons,…
Nonlinear modulational instabililty of the Stokes waves in 2d full water waves
Gong Chen, Qingtang Su
The well-known Stokes waves refer to periodic traveling waves under the gravity at the free surface of a two dimensional full water wave system. In this paper, we prove that small-…
Long-time asymptotics and stability for the sine-Gordon equation
Gong Chen, Jiaqi Liu, Bingying Lu
In this paper, we study the long-time dynamics and stability properties of the sine-Gordon equation Firstly, we use the nonlinear steepest descent for R…
Orbital stability and instability of periodic wave solutions for -models
Gong Chen, José M. Palacios
In this work we study the orbital stability/instability in the energy space of a specific family of periodic wave solutions of the general -model for all .…
Long-time dynamics of small solutions to the Manakov system with initial data in the weighted space
Gong Chen
In this paper, we compute the long-time asymptotics for small solutions of the Manakov system which is a coupled system of nonlinear Schrödinger equations just under the assumption…
Soliton resolution for the modified KdV equation
Gong Chen, Jiaqi Liu
The soliton resolution for the focusing modified Korteweg-de vries (mKdV) equation is established for initial conditions in some weighted Sobolev spaces. Our approach is based on t…
Long-time asymptotics of the modified KdV equation in weighted Sobolev spaces
Gong Chen, Jiaqi Liu
The long time behavior of solutions to the defocusing modified Korteweg-de vries (MKdV) equation is established for initial conditions in some weighted Sobolev spaces. Our approach…
Lyapunov-type characterisation of exponential dichotomies with applications to the heat and Klein-Gordon equations
Gong Chen, Jacek Jendrej
We give a sufficient condition for existence of an exponential dichotomy for a general linear dynamical system (not necessarily invertible) in a Banach space, in discrete or contin…