Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Interactions of solitary waves in the Adlam-Allen model   We study the interactions of two or more solitary waves in the Adlam-Allen
model describing the evolution of a (cold) plasma of positive and negative
charges, in the presence of electric and transverse magnetic fields. In order
to show that the interactions feature an exponentially repulsive nature, we
elaborate two distinct approaches: (a) using energetic considerations and the
Hamiltonian structure of the model; (b) using the so-called Manton's method. We
compare these findings with results of direct simulations, and identify
adjustments necessary to achieve a quantitative match between them. Additional
connections are made, such as with solitons of the Korteweg--de Vries equation.
New challenges are identified in connection to this model and its solitary
waves.

25
The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
20
The categories of this paper are: acc-phys
17
The categories of this paper are: q-fin
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
34
The categories of this paper are: chem-ph
32
The categories of this paper are: atom-ph
31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ
30
The categories of this paper are: q-alg
36
The categories of this paper are: cmp-lg
11
The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga
1
The categories of this paper are: cs
7
The categories of this paper are: hep-th