Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dynamical representations of constrained multicomponent nonlinear
  Schr\"odinger equations in arbitrary dimensions   We present new approaches for solving constrained multicomponent nonlinear
Schr\"odinger equations in arbitrary dimensions. The idea is to introduce an
artificial time and solve an extended damped second order dynamic system whose
stationary solution is the solution to the time-independent nonlinear
Schr\"odinger equation. Constraints are often considered by projection onto the
constraint set, here we include them explicitly into the dynamical system. We
show the applicability and efficiency of the methods on examples of relevance
in modern physics applications.

30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
7
The categories of this paper are: hep-th
31
The categories of this paper are: ao-sci
33
The categories of this paper are: plasm-ph
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
19
The categories of this paper are: eess
28
The categories of this paper are: alg-geom
16
The categories of this paper are: stat
13
The categories of this paper are: quant-ph
8
The categories of this paper are: hep-ex
5
The categories of this paper are: gr-qc
14
The categories of this paper are: math-ph
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an