Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Conservation laws and symmetries of quasilinear radial wave equations in
  multi-dimensions   Symmetries and conservation laws are studied for two classes of physically
and analytically interesting radial wave equations with power nonlinearities in
multi-dimensions. The results consist of two main classifications: all
symmetries of point type and all conservation laws of a general energy-momentum
type are explicitly determined, including those such as dilations, inversions,
similarity energies and conformal energies that exist only for special powers
or dimensions. In particular, all variational cases (when a Lagrangian
formulation exists) and non-variational cases (when no Lagrangian exists) for
these wave equations are considered. As main results, the classification yields
generalized energies and radial momenta in certain non-variational cases, which
are shown to arise from a new type of Morawetz dilation identity that produces
conservation laws for each of the two wave equations in a different way than
Noether's theorem.

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The categories of this paper are: atom-ph
1
The categories of this paper are: cs
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
19
The categories of this paper are: eess
28
The categories of this paper are: alg-geom
24
The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
13
The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph
11
The categories of this paper are: hep-lat
17
The categories of this paper are: q-fin
25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg