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Abstract
In this paper, we are interested in a series of sub-hierarchies of the KP hierarchy introduced by Date et al. in [4], which we call the ℬ𝒞r-KP hierarchy for r ∈ ℤ≥0. In a unified way, we construct additional symmetries of the ℬ𝒞r-KP hierarchy and show that all of them form a [Formula: see text]-algebra. Then, we introduce the constrained ℬ𝒞r-KP hierarchy, and construct its additional symmetries and show that all of them form a Witt algebra.
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