4 citations · 10 across the 6 of their papers we have counts for
7 papers · 1 filter
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-…
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…