Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Cauchy problem and wave-breaking phenomenon for a generalized
  sine-type FORQ/mCH equation   In this paper, we are concerned with the Cauchy problem and wave-breaking
phenomenon for a sine-type modified Camassa-Holm (alias sine-FORQ/mCH)
equation. Employing the transport equations theory and the Littlewood-Paley
theory, we first establish the local well-posedness for the strong solutions of
the sine-FORQ/mCH equation in Besov spaces. In light of the Moser-type
estimates, we are able to derive the blow-up criterion and the precise blow-up
quantity of this equation in Sobolev spaces. We then give a sufficient
condition with respect to the initial data to ensure the occurance of the
wave-breaking phenomenon by trace the precise blow-up quantity along the
characteristics associated with this equation.

22
The categories of this paper are: chao-dyn
16
The categories of this paper are: stat
29
The categories of this paper are: funct-an
34
The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
1
The categories of this paper are: cs
7
The categories of this paper are: hep-th
20
The categories of this paper are: acc-phys
33
The categories of this paper are: plasm-ph
37
The categories of this paper are: supr-con
21
The categories of this paper are: adap-org
18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph
13
The categories of this paper are: quant-ph
28
The categories of this paper are: alg-geom
23
The categories of this paper are: solv-int