Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Miura and Generalized B\"acklund Transformation for KdV Hierarchy   Using the fact that Miura transformation can be expressed in the form of
gauge transformation connecting the KdV and mKdV equations, we discuss the
derivation of the B\"acklund transformation and its Miura-gauge transformation
connecting both hierarchies.

27
The categories of this paper are: comp-gas
22
The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
16
The categories of this paper are: stat
29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph
26
The categories of this paper are: bayes-an
15
The categories of this paper are: nucl-ex
20
The categories of this paper are: acc-phys
19
The categories of this paper are: eess
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The categories of this paper are: ao-sci
1
The categories of this paper are: cs
11
The categories of this paper are: hep-lat
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The categories of this paper are: atom-ph
34
The categories of this paper are: chem-ph
18
The categories of this paper are: econ