On a generalization of the Fay-Sato identity for KP Baker functions and its application to constrained hierarchies

L. A. Dickey; W. Strampp

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On a generalization of the Fay-Sato identity for KP Baker functions and its application to constrained hierarchies

L. A. Dickey·W. Strampp

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Abstract

Some new formulas for the KP hierarchy are derived from the differential Fay identity. They proved to be useful for the $k$-constrained hierarchies providing a series of determinant identities for them. A differential equation is introduced which is called ``universal" since it plays an important role for all the $k$-constrained hierarchies. In the cases $k=1,2$ and 3 explicit formulas are presented, in all the others recurrence relations are given which enable one to obtain the identities.

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BibTeX RIS

L. A. Dickey, W. Strampp. 1996-07-03. On a generalization of the Fay-Sato identity for KP Baker functions and its application to constrained hierarchies. https://arxiv.org/abs/solv-int/9606009

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