Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Unified Construction of Variational Methods for the Nonlinear
  Schroedinger Equation   Based on an approach introduced byGerjuoy, Rau, and Spruch, we constract
variational principles in a systematic way for the nonlinear Schroedinger
equation and obtain new variational principles for the case of
Ginzburg-Pitaevskii-Gross equation (PGP) which is belived to describe
accurately the Bose-Einstein condensation at zero temperature. As an
application of these variational methods, a variational iteration method is
proposed for calculating eigenvalue (chemical potential) and wave function for
the GPG equation

11
The categories of this paper are: hep-lat
2
The categories of this paper are: math
27
The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an
5
The categories of this paper are: gr-qc
3
The categories of this paper are: physics
15
The categories of this paper are: nucl-ex
36
The categories of this paper are: cmp-lg
25
The categories of this paper are: patt-sol
14
The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs
28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio