Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On a Class of Spatial Discretizations of Equations of the Nonlinear
  Schrodinger Type   We demonstrate the systematic derivation of a class of discretizations of
nonlinear Schr{\"o}dinger (NLS) equations for general polynomial nonlinearity
whose stationary solutions can be found from a reduced two-point algebraic
condition. We then focus on the cubic problem and illustrate how our class of
models compares with the well-known discretizations such as the standard
discrete NLS equation, or the integrable variant thereof. We also discuss the
conservation laws of the derived generalizations of the cubic case, such as the
lattice momentum or mass and the connection with their corresponding continuum
siblings.

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The categories of this paper are: econ
1
The categories of this paper are: cs
34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio
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The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat
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The categories of this paper are: nucl-ex
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The categories of this paper are: acc-phys
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The categories of this paper are: supr-con
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The categories of this paper are: atom-ph
12
The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th
33
The categories of this paper are: plasm-ph