Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Lie point symmetry analysis of a second order differential equation with
  singularity   By using Lie symmetry methods, we identify a class of second order nonlinear
ordinary differential equations invariant under at least one dimensional
subgroup of the symmetry group of the Ermakov-Pinney equation. In this context,
nonlinear superposition rule for second order Kummer-Schwarz equation is
rediscovered. Invariance under one-dimensional symmetry group is also used to
obtain first integrals (Ermakov-Lewis invariants). Our motivation is a type of
equations with singular term that arises in many applications, in particular in
the study of general NLS (nonlinear Schr\"odinger) equations.

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The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex
31
The categories of this paper are: ao-sci
17
The categories of this paper are: q-fin
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The categories of this paper are: nucl-th
16
The categories of this paper are: stat
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The categories of this paper are: chao-dyn
24
The categories of this paper are: dg-ga
11
The categories of this paper are: hep-lat
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The categories of this paper are: chem-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: funct-an
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The categories of this paper are: adap-org
23
The categories of this paper are: solv-int
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The categories of this paper are: supr-con
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The categories of this paper are: cond-mat