| Title | Linearly degenerate Hamiltonian PDEs and a new class of solutions to the WDVV associativity equations |
| Publication Type | Journal Article |
| Year of Publication | 2011 |
| Authors | Dubrovin, B, Pavlov, MV, Zykov, SA |
| Journal | Functional Analysis and Its Applications. Volume 45, Issue 4, December 2011, Pages 278-290 |
| Keywords | Frobenius manifold |
| Abstract | We define a new class of solutions to the WDVV associativity equations. This class is determined by the property that one of the commuting PDEs associated with such a WDVV solution is linearly degenerate. We reduce the problem of classifying such solutions of the WDVV equations to the particular case of the so-called algebraic Riccati equation and, in this way, arrive at a complete classification of irreducible solutions. |
| URL | http://hdl.handle.net/1963/6430 |
| DOI | 10.1007/s10688-011-0030-9 |