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School of Mathematics, Hefei University of Technology, Hefei 230601, P. R. China

https://orcid.org/0000-0002-8815-376X

School of Mathematics, Hefei University of Technology, Hefei 230601, P. R. China

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Ge Yi

https://orcid.org/0000-0001-5832-8234

School of Mathematics, Hefei University of Technology, Hefei 230601, P. R. China

E-mail Address: ge.yi@hfut.edu.cn

Corresponding author.

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, and

Ying Xu

https://orcid.org/0000-0002-8002-6600

School of Mathematics, Hefei University of Technology, Hefei 230601, P. R. China

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https://doi.org/10.1142/S0217751X23501154Cited by:0 (Source: Crossref)

Abstract

In this paper, the constrained dispersionless BKP hierarchy are given by restricting the formal Laurent series $ℒ$ of the dispersionless BKP hierarchy to $ℒ = k + \frac{μ (t)}{k - ρ (t)} + \frac{μ (t)}{k + ρ (t)}$ . Its additional symmetries are given by introducing vital formal Laurent series $𝒴_{2 n + 1}$ . The additional flows form the nonabelian $ℤ$ -grading Lie algebra. Furthermore, the additional flows acting on $μ (t)$ and $ρ (t)$ are presented.

Keywords:

PACS: 02.30.Ik

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