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Linearly Degenerate Hamiltonian PDEs and a New Class of Solutions to the WDVV Associativity Equations

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.

preprint2014arXivOpen access
B. A. DubrovinM. V. PavlovS. A. Zykov
nlin.SI
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Open access3 authors1 topic
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B. A. DubrovinM. V. PavlovS. A. Zykov

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