Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Soliton solutions for Q3   We construct N-soliton solutions to the equation called Q3 in the recent
Adler-Bobenko-Suris classification. An essential ingredient in the construction
is the relationship of $(Q3)_{\delta=0}$ to the equation proposed by Nijhoff,
Quispel and Capel in 1983 (the NQC equation). This latter equation has two
extra parameters, and depending on their sign choices we get a 4-to-1
relationship from NQC to $(Q3)_{\delta=0}$. This leads to a four-term
background solution, and then to a 1-soliton solution using a Backlund
transformation. Using the 1SS as a guide allows us to get the N-soliton
solution in terms of the tau-function of the Hirota-Miwa equation.

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The categories of this paper are: hep-ph
23
The categories of this paper are: solv-int
18
The categories of this paper are: econ
5
The categories of this paper are: gr-qc
29
The categories of this paper are: funct-an
22
The categories of this paper are: chao-dyn
7
The categories of this paper are: hep-th
11
The categories of this paper are: hep-lat
21
The categories of this paper are: adap-org
2
The categories of this paper are: math
30
The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th