TITLE:
Non-Scattering of the Solution of the Nonlinear Schrödinger Equation on the Torus
AUTHORS:
Xing Cheng, Qiang Li
KEYWORDS:
Schrödinger Equation, Torus, Scattering
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.5 No.9,
October
16,
2017
ABSTRACT:
In this article, we will show non-scattering of the solution of the nonlinear Schrodinger equation on the torus. The result extends the result of Colliander, J., Keel, M., Staffilani, G., Takaoka, H. and Tao, T. for the cubic nonlinear Schr?dinger equation on 2-dimensional torus.