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math.AP2019
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…
math.AP2019★ 7 cited
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…
math.AP2019
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…