Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A novel (2+1)-dimensional integrable KdV equation with peculiar solution
  structures   The celebrated (1+1)-dimensional Korteweg de-Vries (KdV) equation and its
(2+1)-dimensional extention, the Kadomtsev-Petviashvili (KP) equation, are two
of the most important models in physical science. The KP hierarchy is
explicitly written out by means of the linearized operator of the KP equation.
A novel (2+1)-dimensional KdV extension, the cKP3-4 equation, is obtained by
combining the third member (KP3, the usual KP equation) and the fourth member
(KP4) of the KP hierarchy. The integrability of the cKP3-4 equation is
guaranteed by the existence of the Lax pair and dual Lax pair. The cKP3-4
system can be bilinearized by using Hirota's bilinear operators after
introducing an additional auxiliary variable. Exact solutions of the cKP3-4
equation possess some peculiar and interesting properties which are not valid
for the KP3 and KP4 equations. For instance, the soliton molecules and the
missing D'Alembert type solutions (the arbitrary travelling waves moving in one
direction with a fixed model dependent velocity) including periodic kink
molecules, periodic kink-antikink molecules, few cycle solitons and envelope
solitons are existed for the cKP3-4 equation but not for the separated KP3
equation and the KP4 equation.

6
The categories of this paper are: astro-ph
0
The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
33
The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin
4
The categories of this paper are: cond-mat
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat