%0 Journal Article
%J Functional Analysis and Its Applications. Volume 45, Issue 4, December 2011, Pages 278-290
%D 2011
%T Linearly degenerate Hamiltonian PDEs and a new class of solutions to the WDVV associativity equations
%A Boris Dubrovin
%A M.V. Pavlov
%A Sergei A. Zykov
%K Frobenius manifold
%X 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.
%B Functional Analysis and Its Applications. Volume 45, Issue 4, December 2011, Pages 278-290
%I Springer
%G en
%U http://hdl.handle.net/1963/6430
%1 6367
%2 Mathematics
%4 -1
%$ Submitted by Maria Pia Calandra (calapia@sissa.it) on 2013-01-29T11:15:30Z
No. of bitstreams: 1
dubrovin_linearly.pdf: 298813 bytes, checksum: 568feaa543b4082cc8e8fab4643dce71 (MD5)
%R 10.1007/s10688-011-0030-9