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New exact solutions of some (2+1)-dimensional Burgers-type systems and interactions

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Abstract

In this paper, we construct new exact solutions of some (2+1)-dimensional Burgers-type systems by using corresponding Cole–Hopf-type transformations. The obtained linear equations show that abundant (2+1)-dimensional soliton structures can be constructed for the physical quantity \(W=\lambda (\mathrm{ln} f)_{xy}\) by selecting appropriate parameters. In particular, new meshy soliton structures and interactions are revealed for the first time.

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Acknowledgements

The authors thank Prof. Yong Chen of East China Normal University for helpful discussions. The work was supported by the National Natural Science Foundation of China (11771395).

Funding

Funding was provided by the National Natural Science Foundation of China (Grant No. 11771395).

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Authors and Affiliations

  1. Department of Applied Mathematics, Zhejiang University of Technology, Hangzhou, 310023, China

    Kai Zhou, Jun-Da Peng, Guo-Fang Wang, Sen-Jie Zhan, Shoufeng Shen & Yongyang Jin

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  1. Kai Zhou
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  2. Jun-Da Peng
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Correspondence to Yongyang Jin.

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Zhou, K., Peng, JD., Wang, GF. et al. New exact solutions of some (2+1)-dimensional Burgers-type systems and interactions. Nonlinear Dyn 108, 4115–4122 (2022). https://doi.org/10.1007/s11071-022-07426-2

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  • DOI: https://doi.org/10.1007/s11071-022-07426-2

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