18 citations · 18 across the 3 of their papers we have counts for
8 papers
Open WDVV equations and -systems
Alessandro Proserpio, Ian A. B. Strachan
The idea of a -system was introduced by Veselov in the study of rational solutions of the WDVV equations of associativity. These are algebraic/geometric conditions on the…
Dubrovin duality and mirror symmetry for ADE resolutions
Andrea Brini, Jingxiang Ma, Ian A. B. Strachan
We show that, under Dubrovin's notion of ''almost'' duality, the Frobenius manifold structure on the orbit spaces of the extended affine Weyl groups of type is dual,…
Deformations of the Monge/Riemann hierarchy and approximately integrable systems
I. A. B. Strachan
Dispersive deformations of the Monge equation u_u=uu_x are studied using ideas originating from topological quantum field theory and the deformation quantization programme. It is s…
The dispersive self-dual Einstein equations and the Toda lattice
I. A. B. Strachan
The Boyer-Finley equation, or -Toda equation is both a reduction of the self-dual Einstein equations and the dispersionlesslimit of the -Toda lattice equation. This…
The algebraic and Hamiltonian structure of the dispersionless Benney and Toda hierarchies
D. B. Fairlie, I. A. B. Strachan
The algebraic and Hamiltonian structures of the multicomponent dispersionless Benney and Toda hierarchies are studied. This is achieved by using a modified set of variables for whi…
A Geometry for Multidimensional Integrable Systems
I. A. B. Strachan
A deformed differential calculus is developed based on an associative star-product. In two dimensions the Hamiltonian vector fields model the algebra of pseudo-differential operato…