Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Backlund Transformations for Darboux Integrable Differential Systems   We give a new mechanism for constructing Backlund transformations by using
symmetry reduction of differential systems. We then characterize a family of
Backlund transformations between Darboux integrable systems where the Backlund
transformation can be constructed by the proposed symmetry reduction method.

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The categories of this paper are: astro-ph
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The categories of this paper are: econ
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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: alg-geom
37
The categories of this paper are: supr-con
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The categories of this paper are: ao-sci
33
The categories of this paper are: plasm-ph
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The categories of this paper are: eess
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The categories of this paper are: nucl-th
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The categories of this paper are: patt-sol
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The categories of this paper are: solv-int
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The categories of this paper are: math-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: cmp-lg
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The categories of this paper are: gr-qc