Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Two-Dimensional Dilaton Gravity and Toda - Liouville Integrable Models   General properties of a class of two-dimensional dilaton gravity (DG)
theories with multi-exponential potentials are studied and a subclass of these
theories, in which the equations of motion reduce to Toda and Liouville
equations, is treated in detail. A combination of parameters of the equations
should satisfy a certain constraint that is identified and solved for the
general multi-exponential model. From the constraint it follows that in DG
theories the integrable Toda equations, generally, cannot appear without
accompanying Liouville equations.
  We also show how the wave-like solutions of the general Toda-Liouville
systems can be simply derived. In the dilaton gravity theory, these solutions
describe nonlinear waves coupled to gravity as well as static states and
cosmologies. A special attention is paid to making the analytic structure of
the solutions of the Toda equations as simple and transparent as possible, with
the aim to gain a better understanding of realistic theories reduced to
dimensions 1+1 and 1+0 or 0+1.

16
The categories of this paper are: stat
18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph
36
The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph
14
The categories of this paper are: math-ph
20
The categories of this paper are: acc-phys
8
The categories of this paper are: hep-ex
2
The categories of this paper are: math
13
The categories of this paper are: quant-ph
32
The categories of this paper are: atom-ph