On solitary-wave interaction |
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| Institution: | 1. Faculty of Applied Mathematics, Shanxi University of Finance and Economics, Taiyuan 030006, People''s Republic of China;2. Department of Mathematics, China University of Mining and Technology, Beijing 100083, People''s Republic of China;1. State Key Laboratory of Information Photonics and Optical Communications, School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China;2. Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China;1. Department of Pediatrics, Ghent University Hospital, Ghent, Belgium;2. Department of Pediatric Nephrology, Ghent University Hospital, Ghent, Belgium;3. Department of Urology, Ghent University Hospital, Ghent, Belgium |
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| Abstract: | We study analytically the interaction of the solitary waves of the regularized long-wave equation proposed by Peregrine and Benjamin et al. It is shown in the long-wave limit that the solitary waves interact inelastically, and that a new solitary wave as well as a radiation tail are generated as a result of the interaction. The result agrees with the numerical observation made by Bona et al. The analysis presented here can also be applied to the general weakly dispersive nonlinear wave systems, and it shows that the interaction property holds commonly for the nonintegrable systems. |
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