4 citations · 10 across the 6 of their papers we have counts for
6 papers
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-…
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…
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…