Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Superposed Hyperbolic Kink and Pulse Solutions of Coupled $\phi^4$, NLS
  and MKdV Equations   We obtain novel solutions of a coupled $\phi^4$, a coupled nonlinear
Schr\"odinger (NLS) and a coupled modified Korteweg de Vries (MKdV) model which
can be re-expressed as a linear superposition of either the sum or the
difference of two hyperbolic kink or two hyperbolic pulse solutions. These
results demonstrate that the notion of superposed solutions extends to coupled
nonlinear equations as well.

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The categories of this paper are: quant-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: stat
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The categories of this paper are: cond-mat
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-lat
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-bio
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The categories of this paper are: cmp-lg
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The categories of this paper are: chem-ph
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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: dg-ga
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The categories of this paper are: math
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The categories of this paper are: hep-th
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The categories of this paper are: eess