Hypergeometric tau functions τ(t,T, t*) as ∞-soliton tau function in T variables

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We consider KP tau function of hypergeometric type τ(t,T, t*), where the set t is the KP higher times and T, t* are sets of parameters. Fixing t*, we find that τ(t,T, t*) is an infinite-soliton solution of different (dual) multi-component KP (and TL) hierarchy, where the roles of the variables t and T are interchanged. When τ(t,T, t*) is a polynomial in t, we obtain a N-soliton solution of the dual hierarchy. Parameters of the solitons are related to the Frobenius coordinates of partitions in the Schur function development of τ(t,T, t*).