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arXiv · 2011.10691

Tau Functions of (n,1) curves and Soliton Solutions on Non-Zero Constant Backgrounds

Atsushi Nakayashiki
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Abstract

We study the tau function of the KP-hierarchy associated with an (n,1) curve $y^n=x-\alpha$. If $\alpha=0$ the corresponding tau function is 1. On the other hand if $\alpha\neq 0$ the tau function becomes the exponential of a quadratic function of the time variables. By applying vertex opertaors to the latter we obtain soliton solutions on non-zero constant backgrounds.

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BibTeXRIS

Atsushi Nakayashiki. 2020-11-21. Tau Functions of (n,1) curves and Soliton Solutions on Non-Zero Constant Backgrounds. https://doi.org/10.1007/s11005-021-01411-3

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