Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nonlocal Symmetries and Generation of Solutions for Partial Differential
  Equations   We have constructed new formulae for generation of solutions for the
nonlinear heat equation and for the Burgers equation that are based on
linearizing nonlocal transformations and on nonlocal symmetries of linear
equations. Found nonlocal symmetries and formulae of nonlocal nonlinear
superposition of solutions of these equations were used then for construction
of chains of exact solutions. Linearization by means of the Legendre
transformations of a second-order PDE with three independent variables allowed
to obtain nonlocal superposition formulae for solutions of this equation, and
to generate new solutions from group invariant solutions of a linear equation.

34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
0
The categories of this paper are: hep-ph
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The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
8
The categories of this paper are: hep-ex
22
The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
28
The categories of this paper are: alg-geom
12
The categories of this paper are: nucl-th
13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
29
The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat