We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
On the Bi-Hamiltonian Geometry of WDVV Equations.
- Authors
Pavlov, Maxim; Vitolo, Raffaele
- Abstract
We consider the WDVV associativity equations in the four-dimensional case. These nonlinear equations of third order can be written as a pair of six-component commuting two-dimensional non-diagonalizable hydrodynamic-type systems. We prove that these systems possess a compatible pair of local homogeneous Hamiltonian structures of Dubrovin-Novikov type (of first and third order, respectively).
- Subjects
HAMILTONIAN systems; HYDRODYNAMICS; JACOBI identity; NONLINEAR equations; OPERATOR theory; FOUR-dimensional models (String theory)
- Publication
Letters in Mathematical Physics, 2015, Vol 105, Issue 8, p1135
- ISSN
0377-9017
- Publication type
Article
- DOI
10.1007/s11005-015-0776-8