Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Two dimensional solitary waves in shear flows   In this paper we study existence and asymptotic behavior of solitary-wave
solutions for the generalized Shrira equation, a two-dimensional model
appearing in shear flows. The method used to show the existence of such special
solutions is based on the mountain pass theorem. One of the main difficulties
consists in showing the compact embedding of the energy space in the Lesbesgue
spaces; this is dealt with interpolation theory. Regularity and decay
properties of the solitary waves are also established.

12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org
8
The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
16
The categories of this paper are: stat
29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph
25
The categories of this paper are: patt-sol
18
The categories of this paper are: econ
26
The categories of this paper are: bayes-an
7
The categories of this paper are: hep-th
23
The categories of this paper are: solv-int