Xing Cheng, Qiang Li
Abstract
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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.
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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.
Key concepts: Torus, Keel, Nonlinear Schrödinger equation, Scattering, Nonlinear system, Mathematical physics, Physics, Schrödinger equation