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- W3123862181 abstract "To every partition n=n1+n2+...+ns one can associate a vertex operator realization of the Lie algebras a∞ and gln. Using this construction, we obtain reductions of the s-component KP hierarchy, reductions which are related to these partitions. In this way we obtain matrix KdV-type equations. We show that the following two constraints on a KP τ-function are equivalent: (1) τ is a τ-function of the [n1, n2, ..., ns]-th reduced KP hierarchy which satisfies the string equation L−1τ=0; (2) τ satisfies the vacuum constraints of the W1+∞ algebra." @default.
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- W3123862181 date "1995-07-01" @default.
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- W3123862181 title "The [n 1,n 2, ...,n s]-th reduced KP hierarchy andW 1+∞ constraints" @default.
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- W3123862181 doi "https://doi.org/10.1007/bf02066653" @default.
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