Multiple-order rogue wave solutions to a (2+1)-dimensional Boussinesq type equation |
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Authors: | Mengqi Zheng Xiaona Dong Caifeng Chen Maohua Li |
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Institution: | School of Mathematics and Statistics, Ningbo University, Ningbo, Zhejiang 315211, China |
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Abstract: | In this paper, based on the Hirota bilinear method and symbolic computation approach, multiple-order rogue waves of (2+1)-dimensional Boussinesq type equation are constructed. The reduced bilinear form of the equation is deduced by the transformation of variables. Three kinds of rogue wave solutions are derived by means of bilinear equation. The maximum and minimum values of the first-order rogue wave solution are given at a specific moment. Furthermore, the second-order and third-order rogue waves are explicitly derived. The dynamic characteristics of three kinds of rogue wave solutions are shown by three-dimensional plot. |
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Keywords: | (2&plus 1)-dimensional Boussinesq type equation Hirota bilinear method symbolic computation approach reduced bilinear form |
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