Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Tau Functions of (n,1) curves and Soliton Solutions on Non-Zero Constant
  Backgrounds   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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The categories of this paper are: quant-ph
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The categories of this paper are: hep-th
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The categories of this paper are: dg-ga
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The categories of this paper are: nucl-ex
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The categories of this paper are: bayes-an
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The categories of this paper are: cond-mat
34
The categories of this paper are: chem-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: supr-con
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The categories of this paper are: hep-lat
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The categories of this paper are: alg-geom
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The categories of this paper are: cmp-lg
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The categories of this paper are: solv-int
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The categories of this paper are: eess
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The categories of this paper are: funct-an
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The categories of this paper are: astro-ph