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Application of Bell polynomial in the generalized (2+1)-dimensional Nizhnik–Novikov–Veselov equation

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Abstract

In this article, Bell polynomial method is used to study the (2+1)-dimensional NNV equation integrability and solve the problem. Firstly, a bilinear form of the equation is constructed using Bell polynomial. Secondly, using the bilinear form and the symbolic computing system Mathematica, the bilinear Bell polynomial B\(\ddot{a}\)cklund transformation and Lax pair of the equation are acquired. Finally, the conservation laws and the Weierstrass elliptic function solutions of the equation are constructed.

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Acknowledgements

The authors deeply appreciate the anonymous reviewers for their helpful and constructive suggestions, which can help improve this paper further. This work is supported by the National Natural Science Foundation of China (Grant No.11361040), the Natural Science Foundation of Inner Mongolia Autonomous Region, China (Grant No.2020LH01008), and the Graduate Students Scientific Research Innovation Fund Program of Inner Mongolia Normal University, China (Grant No.CXJJS20089).

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Authors and Affiliations

  1. College of Mathematics Science, Inner Mongolia Normal University, Hohhot, 010022, People’s Republic of China

    Jiangying Huo & Taogetusang Bao

  2. Center for Applied Mathematics Inner Mongolia, Hohhot, 010022, People’s Republic of China

    Jiangying Huo & Taogetusang Bao

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  1. Jiangying Huo
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  2. Taogetusang Bao
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Correspondence to Taogetusang Bao.

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Huo, J., Bao, T. Application of Bell polynomial in the generalized (2+1)-dimensional Nizhnik–Novikov–Veselov equation. Nonlinear Dyn 111, 22513–22521 (2023). https://doi.org/10.1007/s11071-023-09024-2

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