A modified Bäcklund transformation and multi-soliton solution for the Boussinesq equation |
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| Institution: | 1. Department of Aerospace Engineering, Indian Institute of Science, Bangalore 560012, India;2. Faculty of Mechanical Engineering, Technion Israel Institute of Technology, Technion City, Haifa 32000, Israel;1. Department of Mathematics, Faculty of Education, Ain Shams University, Cairo, Egypt;2. College of Business Administration in Majmaah, Majmaah University 11952, Kingdom of Saudi Arabia |
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| Abstract: | It is shown that a modified Bäcklund transformation is presented by the dependent variable transformation. Starting from it, a new representation of N-soliton solution and a class of novel multi-soliton solution of the Boussinesq equation have been derived. We also find the novel soliton solution may be deduced by limiting. |
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