WDVV equations: Hamiltonian operators and symbolic computations
Jakub Va\v{s}\'i\v{c}ek, Raffaele Vitolo
TL;DR
This paper introduces software tools designed for symbolic computation to identify and verify Hamiltonian operators related to WDVV equations, focusing on nonlocal operators and their canonical forms.
Contribution
The work presents novel algorithms and software for symbolic manipulation of nonlocal Hamiltonian operators in the context of WDVV equations, enabling verification of their compatibility.
Findings
Successfully identified Hamiltonian operators for WDVV equations
Verified compatibility of these operators using developed algorithms
Enhanced symbolic computation methods for nonlocal operators
Abstract
We describe software for symbolic computations that we developed in order to find Hamiltonian operators for Witten--Dijkgraaf--Verlinde--Verlinde (WDVV) equations, and verify their compatibility. The computation involves nonlocal (integro-differential) operators, for which specific canonical forms and algorithms have been used.
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Taxonomy
TopicsNonlinear Waves and Solitons · Algebraic structures and combinatorial models · Numerical methods for differential equations