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

Robert Conte·Maria Luz Gandarias
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Abstract

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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Robert Conte, Maria Luz Gandarias. 2004-12-21. Symmetry reductions of a particular set of equations of associativity in twodimensional topological field theory. https://doi.org/10.1088/0305-4470/38/5/018

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