Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dynamics of rogue waves on a multi-soliton background in a vector
  nonlinear Schrodinger equation   General higher order rogue waves of a vector nonlinear Schrodinger equation
(Manakov system) are derived using a Darboux-dressing transformation with an
asymptotic expansion method. The Nth order semi-rational solutions containing
3N free parameters are expressed in separation of variables form. These
solutions exhibit rogue waves on a multisoliton background. They demonstrate
that the structure of rogue waves in this two-component system is richer than
that in a one-component system. The study of our results would be of much
importance in understanding and predicting rogue wave phenomena arising in
nonlinear and complex systems, including optics, fluid dynamics, Bose-Einstein
condensates and finance and so on.

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The categories of this paper are: hep-ph
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
5
The categories of this paper are: gr-qc
14
The categories of this paper are: math-ph
4
The categories of this paper are: cond-mat
7
The categories of this paper are: hep-th
17
The categories of this paper are: q-fin
27
The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int
24
The categories of this paper are: dg-ga
34
The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
13
The categories of this paper are: quant-ph