WDVV equations: symbolic computations of Hamiltonian operators

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...

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Vydané v:Applicable algebra in engineering, communication and computing Ročník 33; číslo 6; s. 915 - 934
Hlavní autori: Vašíček, Jakub, Vitolo, Raffaele
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Berlin/Heidelberg Springer Berlin Heidelberg 01.12.2022
Springer Nature B.V
Predmet:
Algorithms
Artificial Intelligence
Canonical forms
Computer Hardware
Computer Science
Differential equations
Mathematical analysis
Operators
Original Paper
Symbolic and Algebraic Manipulation
Theory of Computation
WDVV equations
Schouten bracket
Weakly nonlocal operators
68W30
Symbolic computations
53D45
Integro-differential operators
Hamiltonian operators
37K10
ISSN:0938-1279, 1432-0622
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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.
AbstractList 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.
Author Vitolo, Raffaele
Vašíček, Jakub
Author_xml – sequence: 1
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  surname: Vašíček
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  givenname: Raffaele
  surname: Vitolo
  fullname: Vitolo, Raffaele
  email: raffaele.vitolo@unisalento.it
  organization: Department of Mathematics and Physics “E. De Giorgi”, University of Salento, Sezione di Lecce, Istituto Nazionale di Fisica Nucleare
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10.1016/j.difgeo.2020.101713
10.1007/BF02517890
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Issue 6
Keywords WDVV equations
Schouten bracket
Weakly nonlocal operators
68W30
Symbolic computations
53D45
Integro-differential operators
Hamiltonian operators
37K10
Language English
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Snippet We describe software for symbolic computations that we developed in order to find Hamiltonian operators for Witten–Dijkgraaf–Verlinde–Verlinde (WDVV)...
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SubjectTerms Algorithms
Artificial Intelligence
Canonical forms
Computer Hardware
Computer Science
Differential equations
Mathematical analysis
Operators
Original Paper
Symbolic and Algebraic Manipulation
Theory of Computation
Title WDVV equations: symbolic computations of Hamiltonian operators
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