Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Long-time asymptotic behavior for the complex short pulse equation   In this paper, we consider the initial value problem for the complex short
pulse equation with a Wadati-Konno-Ichikawa type Lax pair.
  We show that the solution to the initial value problem has a parametric
expression in terms of the solution of $2\times 2$-matrix Riemann-Hilbert
problem, from which an implicit one-soliton solution is obtained on the
discrete spectrum. While on the continuous spectrum we further establish the
explicit long-time asymptotic behavior of the non-soliton solution by using
Deift-Zhou nonlinear steepest descent method.

9
The categories of this paper are: nlin
22
The categories of this paper are: chao-dyn
21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
24
The categories of this paper are: dg-ga
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The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys
28
The categories of this paper are: alg-geom
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The categories of this paper are: plasm-ph
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The categories of this paper are: q-bio
4
The categories of this paper are: cond-mat
37
The categories of this paper are: supr-con
19
The categories of this paper are: eess
11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph