Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Regularizing nonlinear Schroedinger equations through partial off-axis
  variations   We study a class of focusing nonlinear Schroedinger-type equations derived
recently by Dumas, Lannes and Szeftel within the mathematical description of
high intensity laser beams [7]. These equations incorporate the possibility of
a (partial) off-axis variation of the group velocity of such laser beams
through a second order partial differential operator acting in some, but not
necessarily all, spatial directions. We study the well-posedness theory for
such models and obtain a regularizing effect, even in the case of only partial
off-axis dependence. This provides an answer to an open problem posed in [7].

5
The categories of this paper are: gr-qc
9
The categories of this paper are: nlin
26
The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th
3
The categories of this paper are: physics
17
The categories of this paper are: q-fin
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph
11
The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph
27
The categories of this paper are: comp-gas
32
The categories of this paper are: atom-ph