Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cauchy problem and multi-soliton solutions for a two-component short
  pulse system   In this paper, we study the Cauchy problem and multi-soliton solutions for a
two-component short pulse system. For the Cauchy problem, we first prove the
existence and uniqueness of solution with an estimate of the analytic lifespan,
and then investigate the continuity of the data-to-solution map in the space of
analytic function. For the multi-soliton solutions, we first derive an $N$-fold
Darboux transformation from the Lax pair of the two-component short pulse
system, which is expressed in terms of the quasideterminant.Then by virtue of
the $N$-fold Darboux transformation we obtain multi-loop and breather soliton
solutions. In particular, one-, two-, three-loop soliton, and breather soliton
solutions are discussed in details with interesting dynamical interactions and
shown through figures.

0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio
24
The categories of this paper are: dg-ga
37
The categories of this paper are: supr-con
28
The categories of this paper are: alg-geom
13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics
2
The categories of this paper are: math
8
The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg
17
The categories of this paper are: q-fin
15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th
36
The categories of this paper are: cmp-lg