On the general form of the Benjamin-Bona-Mahony equation in fluid mechanics |
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| Authors: | Hao Zhang Guang-Mei Wei Yi-Tian Gao |
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| Affiliation: | (1) Institute of Fluid Mechanics and Department of Applied Physics, Beijing University of Aeronautics and Astronautics, 100083 Beijing, China;(2) Department of Applied Mathematics, Beijing University of Aeronautics and Astronautics, 100083 Beijing, China;(3) Institute of Fluid Mechanics, Beijing University of Aeronautics and Astronautics, 100083 Beijing, China |
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| Abstract: | In the study of many problems of mechanical and physical sciences, various versions of the Benjamin-Bona-Mahony (BBM) equation or the regularized-long-wave equation have been proposed. In this paper, we obtain the solitary-wave solutions to the general form of the BBM equation, which fully cover the variety of the BBM solitary waves previously reported. This work has been supported by the China Talent Fund, by the Cheung Kong Scholars Programme of China, by the Cheung-Kong-Scholar Research Concerted Fund of Beijing University of Aeronautics and Astronautics, and by the Doctoral Education Fund in Basic Sciences of Beijing University of Aeronautics and Astronautics. |
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| Keywords: | 05.45.Yv 47.35.+i 52.35.Sb |
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