Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Smoothing properties for the higher order nonlinear Schr\"{o}dinger
  equation with constant coefficients   We study local and global existence and smoothing properties for the initial
value problem associated to a higher order nonlinear Schr\"odinger equation
with constant coefficients which appears as a model for propagation of pulse in
optical fiber.

25
The categories of this paper are: patt-sol
13
The categories of this paper are: quant-ph
18
The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc
23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
20
The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
33
The categories of this paper are: plasm-ph
19
The categories of this paper are: eess
37
The categories of this paper are: supr-con
3
The categories of this paper are: physics
27
The categories of this paper are: comp-gas