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arXiv · 1709.05632

From the Adler--Moser polynomials to the polynomial tau functions of KdV

Ann du Crest de Villeneuve
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Abstract

In 1978, M. Adler and J. Moser proved that there exists a unique change of variables that transforms the Adler-Moser polynomials into the polynomial tau functions of the KdV hierarchy. In this paper we exhibit this change of variables.

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Ann du Crest de Villeneuve. 2019-06-28. From the Adler--Moser polynomials to the polynomial tau functions of KdV. https://arxiv.org/abs/1709.05632

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