Bäcklund transformation and multi-soliton solutions for the (3+1)-dimensional BKP equation with Bell polynomials and symbolic computation
In this paper, the binary Bell polynomials are employed to find the bilinear form, bilinear Bäcklund transformation and Lax pair for the (3+1)-dimensional BKP equation. Based on Hirota’s bilinear form and three-wave method, multi-soliton solutions are presented. Furthermore, a new bilinear Bäcklund...
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| Veröffentlicht in: | Nonlinear dynamics 2015-10, Vol.82 (1-2), p.311-318 |
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| creator | Na, Liu |
| description | In this paper, the binary Bell polynomials are employed to find the bilinear form, bilinear Bäcklund transformation and Lax pair for the (3+1)-dimensional BKP equation. Based on Hirota’s bilinear form and three-wave method, multi-soliton solutions are presented. Furthermore, a new bilinear Bäcklund transformation is constructed via applying a gauge transformation to the Bäcklund transformation in bilinear form. |
| doi_str_mv | 10.1007/s11071-015-2159-1 |
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| language | eng |
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| subjects | Automotive Engineering Classical Mechanics Combinatorial analysis Control Dynamical Systems Engineering Mechanical Engineering Original Paper Polynomials Solitary waves Transformations Vibration |
| title | Bäcklund transformation and multi-soliton solutions for the (3+1)-dimensional BKP equation with Bell polynomials and symbolic computation |
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