Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Newton's law for a trajectory of concentration of solutions to nonlinear
  Schrodinger equation   One of important problems in mathematical physics concerns derivation of
point dynamics from field equations. The most common approach to this problem
is based on WKB method. Here we describe a different method based on the
concept of trajectory of concentration. When we applied this method to
nonlinear Klein-Gordon equation, we derived relativistic Newton's law and
Einstein's formula for inertial mass. Here we apply the same approach to
nonlinear Schrodinger equation and derive non-relativistic Newton's law for the
trajectory of concentration.

8
The categories of this paper are: hep-ex
26
The categories of this paper are: bayes-an
9
The categories of this paper are: nlin
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an
22
The categories of this paper are: chao-dyn
24
The categories of this paper are: dg-ga
19
The categories of this paper are: eess
36
The categories of this paper are: cmp-lg
11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
16
The categories of this paper are: stat
17
The categories of this paper are: q-fin
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ