Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Conservation laws and line soliton solutions of a family of modified KP
  equations   A family of modified Kadomtsev-Petviashvili equations (mKP) in 2+1 dimensions
is studied. This family includes the integrable mKP equation when the
coefficients of the nonlinear terms and the transverse dispersion term satisfy
an algebraic condition. The explicit line soliton solution and all conservation
laws of low order are derived for all equations in the family and compared to
their counterparts in the integrable case.

29
The categories of this paper are: funct-an
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
24
The categories of this paper are: dg-ga
19
The categories of this paper are: eess
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
15
The categories of this paper are: nucl-ex
20
The categories of this paper are: acc-phys
32
The categories of this paper are: atom-ph
3
The categories of this paper are: physics
23
The categories of this paper are: solv-int
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The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
17
The categories of this paper are: q-fin
7
The categories of this paper are: hep-th