The WDVV Associativity Equations as a High-Frequency Limit

Abstract : In this paper, we present a new “Hamiltonian” approach for construction of integrable systems. We found an intermediate dispersive system of a Camassa–Holm type. This three-component system has simultaneously a high-frequency (short wave) limit equivalent to the remarkable WDVV associativity equations and a dispersionless (long wave) limit coinciding with a dispersionless limit of the Yajima–Oikawa system.
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https://hal.archives-ouvertes.fr/hal-01900003
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Submitted on : Saturday, October 20, 2018 - 5:01:47 PM
Last modification on : Sunday, October 21, 2018 - 1:00:21 AM

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Maxim V. Pavlov, Nikola M. Stoilov. The WDVV Associativity Equations as a High-Frequency Limit. Journal of Nonlinear Science, Springer Verlag, 2018, 28 (5), pp.1843-1864. ⟨10.1007/s00332-018-9466-x⟩. ⟨hal-01900003⟩

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