Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Periodic and homoclinic solutions of the modified 2+1 Chiral model   We use algebraic Backlund transformations (BTs) to construct explicit
solutions of the modified 2+1 chiral model from $T^2\times R$ to SU(n), where
$T^2$ is a 2-torus. Algebraic BTs are parameterized by $z\in C$ (poles) and
holomorphic maps $\pi$ from $T^2$ to Gr$(k,C^n)$. We apply B\"acklund
transformations with carefully chosen poles and $\pi$'s to construct infinitely
many solutions of the 2+1 chiral model that are (i) doubly periodic in space
variables and periodic in time, i.e., triply periodic, (ii) homoclinic in the
sense that the solution $u$ has the same stationary limit $u_0$ as $t\to
\pm\infty$ and is tangent to a stable linear mode of $u_0$ as $t\to\infty$ and
is tangent to an unstable mode of $u_0$ as $t\to -\infty$.

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The categories of this paper are: gr-qc
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The categories of this paper are: astro-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: adap-org
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The categories of this paper are: hep-th
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: stat
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The categories of this paper are: solv-int
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The categories of this paper are: hep-lat
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The categories of this paper are: supr-con
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The categories of this paper are: acc-phys
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The categories of this paper are: q-fin
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The categories of this paper are: quant-ph
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The categories of this paper are: atom-ph