Symmetry reductions of a particular set of equations of associativity in twodimensional topological field theory

Details Symmetry reductions of a particular set of equations of associativity in twodimensional topological field theory Symmetry reductions of a particular set of equations of associativity in twodimensional topological field theory

2004-12-21

arxiv.org/abs/math/0412439v1

J.Phys. A38 (2005) 1187-1196

Mathematics

Algebraic Geometry

10 pages, Latex, to appear in J. Phys. A: Math. Gen. 2005

Scientific paper

10.1088/0305-4470/38/5/018

The WDVV equations of associativity arising in twodimensional topological
field theory can be represented, in the simplest nontrivial case, by a single
third order equation of the Monge-Ampe`re type. By investigating its Lie point
symmetries, we reduce it to various nonlinear ordinary differential equations,
and we obtain several new explicit solutions.

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