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Decay and scattering of solutions for a generalized Boussinesq equation |
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| Authors: | Ying Wang Yonghong Wu |
| Institution: | a School of Applied Mathematics, University of Electronic Science and Technology of China, Chengdu, 610054, PR China b College of Mathematics and Physics, Chongqing University, Chongqing, 400044, PR China c Department of Mathematics and Statistics, Curtin University of Technology, Perth, 6845 WA, Australia |
| Abstract: | In this paper, we consider the long-time behavior of small solutions of the Cauchy problem for a generalized Boussinesq equation. A scattering operator and the nonlinear scattering for small amplitude solutions of the Boussinesq equation are established under certain hypotheses. |
| Keywords: | 35Q20 76B15 |
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