Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Lie Symmetries of (1+1)-Dimensional Cubic Schr\"odinger Equation with
  Potential   We perform the complete group classification in the class of cubic
Schr\"odinger equations of the form
$i\psi_t+\psi_{xx}+\psi^2\psi^*+V(t,x)\psi=0$ where $V$ is an arbitrary
complex-valued potential depending on $t$ and $x$. We construct all possible
inequivalent potentials for which these equations have non-trivial Lie
symmetries using algebraic and compatibility methods simultaneously. Our
classification essentially amends earlier works on the subject.

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The categories of this paper are: astro-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: physics
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The categories of this paper are: hep-lat
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The categories of this paper are: cmp-lg
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The categories of this paper are: nucl-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: q-bio
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The categories of this paper are: bayes-an
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-ph
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The categories of this paper are: stat
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The categories of this paper are: patt-sol
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The categories of this paper are: atom-ph
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The categories of this paper are: q-fin