Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the existence, uniqueness and stability of Periodic Waves for the
  fractional Benjamin-Bona-Mahony equation   The existence, uniqueness and stability of periodic traveling waves for the
fractional Benjamin-Bona-Mahony equation is considered. In our approach, we
give sufficient conditions to prove a uniqueness result for the single-lobe
solution obtained by a constrained minimization problem. The spectral stability
is then shown by determining that the associated linearized operator around the
wave restricted to the orthogonal of the tangent space related to the momentum
and mass at the periodic wave has no negative eigenvalues. We propose the
Petviashvili's method to investigate the spectral stability of the periodic
waves for the fractional Benjamin-Bona-Mahony equation, numerically. Some
remarks concerning the orbital stability of periodic traveling waves are also
presented.

0
The categories of this paper are: hep-ph
32
The categories of this paper are: atom-ph
21
The categories of this paper are: adap-org
11
The categories of this paper are: hep-lat
12
The categories of this paper are: nucl-th
13
The categories of this paper are: quant-ph
16
The categories of this paper are: stat
17
The categories of this paper are: q-fin
7
The categories of this paper are: hep-th
31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat
14
The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph