Premium
On dynamics of the system of two coupled nonlinear Schrödinger in R 3
Author(s) -
Xia Suxia,
Xu Chengbin
Publication year - 2019
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.5814
Subject(s) - mathematics , nonlinear system , scattering , schrödinger's cat , dynamics (music) , nonlinear schrödinger equation , schrödinger equation , statistical physics , mathematical analysis , physics , quantum mechanics , acoustics
In this paper, we give a new proof of the scattering and blow‐up theory of the two coupled nonlinear Schrödinger system via establishing the corresponding interaction Morawetz estimate and scattering criterion. The method of this paper simplifies the proof in Xu, and the result of the paper improves the result in Xu.