We will consider systems of PDEs endowed with a pair of compatible Hamiltonian operators of differential-geometric (Dubrovin-Novikov) type of first and third order respectively. We will describe the structure of the third order operator in flat coordinates of the first order operator. We use this description on a simple example, the WDVV equation in three components (Ferapontov et al.), where we are able to find a Lagrangian representation according with Nutku and Pavlov (arxiv:0108214). With the same description we tackle a 6-component system recently introduced by Sergyeyev and Pavlov (arXiv:1204.2514, oriented WDVV associativity equation) which has only one known first-order Hamiltonian structure and find evidences of a second third order Hamiltonian structure of the above type.
You are here
On the bi-Hamiltonian structure of WDVV equations
Research Group:
Speaker:
Raffaele Vitolo
Institution:
University of Salento
Schedule:
Wednesday, March 13, 2013 - 14:15 to 15:00
Location:
A-136
Abstract:
Openings
- Call of interest for positions in mathematics at SISSA
- Public Calls for Professors
- Temporary Researchers
- Post Doctoral Fellowships
- Open positions in MathLab
- SISSA Mathematical Fellowships
- PhD Scolarships
- SIS Fellowships
- Pre-PhD Fellowships
- MSc in Mathematics
- Master Degree in Data Science and Scientific Computing
- Professional Master Courses
- SISSA Mathematics Medals
Upcoming events
-
Valentina Beorchia, Valeria Chiadò Piat, Maria Strazullo
SISSA Women in Mathematics 2024
Monday, May 13, 2024 - 14:15
-
Antonio De Rosa
Min-max construction of anisotropic CMC surfaces
Thursday, May 16, 2024 - 14:00 to 16:00
-
Mattia Fogagnolo
TBA
Thursday, May 30, 2024 - 14:00 to 16:00
-
Marco Pozzetta
TBA
Thursday, June 13, 2024 - 14:00 to 15:00
Today's Lectures
-
10:15 to 13:00
-
11:00 to 13:00
-
14:15 to 16:00
Recent publications
-
G.P. Leonardi; G. Saracco,Rigidity and trace properties...
-
R. Marchello; A. Colombi; L. Preziosi; C. Giverso,A non local model for cell mig...
-
I. Prusak; D. Torlo; M. Nonino; G. Rozza,Optimisation–Based Coupling of...
-
A.Surya Boiardi; R. Marchello,Breaking the left-right symmet...