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Bäcklund transformation and multi-soliton solutions for the (3+1)-dimensional BKP equation with Bell polynomials and symbolic computation

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Abstract

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.

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Acknowledgments

We would like to express our sincere thanks to the anonymous reviewers for their constructive comments and valuable suggestions to improve this paper. This work is supported by the Shandong Provincial Natural Science Foundation of China (No. ZR2014AP015) and by the China Postdoctoral Science Foundation funded project (No. 2015M572033).

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  1. Business School, Shandong University of Political Science and Law, Jinan, 250014, People’s Republic of China

    Liu Na

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  1. Liu Na
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Correspondence to Liu Na.

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Na, L. Bäcklund transformation and multi-soliton solutions for the (3+1)-dimensional BKP equation with Bell polynomials and symbolic computation. Nonlinear Dyn 82, 311–318 (2015). https://doi.org/10.1007/s11071-015-2159-1

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  • DOI: https://doi.org/10.1007/s11071-015-2159-1

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