
Symmetry in Nonlinear Mathematical Physics  2009
Artur Sergyeyev (Silesian University in Opava, Czech Republic)
Infinite hierarchies of nonlocal symmetries of the Chen–Kontsevich–Schwarz type
for the oriented associativity equations
Abstract:
We construct infinite hierarchies of nonlocal higher symmetries for the oriented associativity equations using solutions of associated vector and scalar spectral problems. The symmetries in question generalize those found by Chen, Kontsevich and Schwarz (Nucl. Phys. B730 (2005) 352–363, arXiv:hepth/0508221) for the WDVV equations.
As a byproduct, we obtain a Darbouxtype transformation and a (conditional) Bäcklund transformation for the oriented associativity equations.
References
A. Sergyeyev, Infinite hierarchies of nonlocal symmetries of the Chen–Kontsevich–Schwarz type
for the oriented associativity equations, preprint arXiv:0806.0177,
to appear in J. Phys. A: Math. Theor.

