Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Bogomol'nyi Equations of Classical Solutions   We review the Bogomol'nyi equations and investigate an alternative route in
obtaining it. It can be shown that the known BPS equations can be derived
directly from the corresponding Euler-Lagrange equations via separation of
variables, without having to appeal to the Hamiltonian. We apply this technique
to the Dirac-Born-Infeld solitons and obtained the corresponding equations and
the potentials. This method is suitable for obtaining the first-order equations
and determining the allowed potentials for noncanonical defects.

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The categories of this paper are: funct-an
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The categories of this paper are: nucl-th
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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: nucl-ex
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The categories of this paper are: econ
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The categories of this paper are: alg-geom
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The categories of this paper are: atom-ph
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The categories of this paper are: eess
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The categories of this paper are: physics
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The categories of this paper are: math-ph
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The categories of this paper are: q-fin
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The categories of this paper are: cond-mat
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The categories of this paper are: patt-sol
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The categories of this paper are: dg-ga
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The categories of this paper are: chem-ph