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Soliton Interactions of the "Good" Boussinesq Equation on a Nonzero Background
Authors:ZHA Xiao  SUN He  XU Tao  MENG Xiang-Hua  LI Heng-Ji
Institution:1.College of Science, China University of Petroleum, Beijing 102249, China;2.Department of Petroleum Engineering, China University of Petroleum, Beijing 102249, China;3.Department of Mathematics, College of Sciences, Beijing Information Science and Technology University, Beijing 100192, China
Abstract:In this paper, we obtain the soliton solutions for the "good" Boussinesq equation on a constant background. Based on the asymptotic analysis of the solutions, we find that this equation admits both the elastic and resonant soliton interactions, as well as various partially inelastic interactions comprised of such two fundamental interactions. Via picture drawing, we present some examples of soliton interactions on nonzero backgrounds. Our results enrich the knowledge of soliton interactions in the (1+1)-dimensional integrable equation with a single field.
Keywords:soliton interactions  Boussinesq equation  resonant interactions  asymptotic analysis  
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