Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Periodic and Solitary Wave Solutions of Two Component
  Zakharov-Yajima-Oikawa System, Using Madelung's Approach   Using the multiple scales method, the interaction between two bright and one
dark solitons is studied. Provided that a long wave-short wave resonance
condition is satisfied, the two-component Zakharov-Yajima-Oikawa (ZYO)
completely integrable system is obtained. By using a Madelung fluid
description, the one-soliton solutions of the corresponding ZYO system are
determined. Furthermore, a discussion on the interaction between one bright and
two dark solitons is presented. In particular, this problem is reduced to solve
a one-component ZYO system in the resonance conditions.

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The categories of this paper are: hep-ph
17
The categories of this paper are: q-fin
13
The categories of this paper are: quant-ph
22
The categories of this paper are: chao-dyn
29
The categories of this paper are: funct-an
10
The categories of this paper are: q-bio
14
The categories of this paper are: math-ph
27
The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg
37
The categories of this paper are: supr-con
24
The categories of this paper are: dg-ga
36
The categories of this paper are: cmp-lg
12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs
34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom