Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Propagation of exremely short pulses in non-resonant media: the total
  Maxwell-Duffing model   Propagation of extremely short pulses of electromagnetic field
(electromagnetic spikes) is considered in the framework of the total
Maxwell-Duffing model where anharmonic oscillators with cubic nonlinearities
(Duffing model) represent the material medium and wave propagation is governed
by the 1-d bidirectional Maxwell equations. This system of equations has a one
parameter family of exact analytical solutions representing an electromagnetic
spike propagating on a zero or a nonzero background. We find that the total
Maxwell-Duffing equations can be written as a system in bilinear form and that
the one-soliton solution of this system coincides with the steady state
solution obtained previously.

33
The categories of this paper are: plasm-ph
19
The categories of this paper are: eess
11
The categories of this paper are: hep-lat
7
The categories of this paper are: hep-th
12
The categories of this paper are: nucl-th
5
The categories of this paper are: gr-qc
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
13
The categories of this paper are: quant-ph
36
The categories of this paper are: cmp-lg
1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
35
The categories of this paper are: mtrl-th
37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas