Non-Scattering of the Solution of the Nonlinear Schrödinger Equation on the Torus

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DOI: 10.4236/jamp.2017.59162    882 Downloads   1,760 Views  
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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.

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Cheng, X. and Li, Q. (2017) Non-Scattering of the Solution of the Nonlinear Schrödinger Equation on the Torus. Journal of Applied Mathematics and Physics, 5, 1917-1922. doi: 10.4236/jamp.2017.59162.
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