Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Variational approach vs accessible soliton approximation in nonlocal
  nonlinear media   We discuss differences between the variational approach to solitons and the
accessible soliton approximaion in a highly nonlocal nonlinear medium. We
compare results of both approximations by considering the same system of
equations in the same spatial region, under the same boundary conditions. We
also compare these approximations with the numerical solution of the equations.
We find that the variational highly nonlocal approximation provides more
accurate results and as such is more appropriate solution than the accessible
soliton approximation. The accessible soliton model offers a radical
simplification in the treatment of highly nonlocal nonlinear media, with easy
comprehension and convenient parallels to quantum harmonic oscillator, however
with a hefty price tag: a systematic numerical discrepancy of up to 100% with
the numerical results.

29
The categories of this paper are: funct-an
27
The categories of this paper are: comp-gas
17
The categories of this paper are: q-fin
4
The categories of this paper are: cond-mat
37
The categories of this paper are: supr-con
5
The categories of this paper are: gr-qc
24
The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an
36
The categories of this paper are: cmp-lg
14
The categories of this paper are: math-ph
30
The categories of this paper are: q-alg
7
The categories of this paper are: hep-th
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess
25
The categories of this paper are: patt-sol