Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Kinematic Condition For Soliton Motions of an $n$-dimensional Continuum
  in $R^{n+m}$   A new kinematic condition for soliton motions of an $n$-dimensional continuum
in $R^{n+m}$, independent of the underlying physics, is proven. The condition
and its consequences for different cases are demonstrated. A soliton in a 1D
string that rocks back and forth, a rotating soliton in a 2D membrane, and
various other cases are presented as examples. It is shown that traveling knots
based on classical wave equation are plausible. Cases in which all the motions
are solitons are also presented. Compatibility of equations of motion with the
kinematic constraint is explored and demonstrated.

25
The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
26
The categories of this paper are: bayes-an
13
The categories of this paper are: quant-ph
30
The categories of this paper are: q-alg
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The categories of this paper are: dg-ga
6
The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc
9
The categories of this paper are: nlin
12
The categories of this paper are: nucl-th