The WDVV Associativity Equations as a High-Frequency Limit - Archive ouverte HAL
Article Dans Une Revue Journal of Nonlinear Science Année : 2018

The WDVV Associativity Equations as a High-Frequency Limit

Résumé

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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Dates et versions

hal-01900003 , version 1 (20-10-2018)

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Citer

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