The WDVV Associativity Equations as a High-Frequency Limit
| Affiliation auteurs | !!!! Error affiliation !!!! |
| Titre | The WDVV Associativity Equations as a High-Frequency Limit |
| Type de publication | Journal Article |
| Year of Publication | 2018 |
| Auteurs | , Stoilov NM |
| Journal | JOURNAL OF NONLINEAR SCIENCE |
| Volume | 28 |
| Pagination | 1843-1864 |
| Date Published | OCT |
| Type of Article | Article |
| ISSN | 0938-8974 |
| Mots-clés | Associativity equations, Bi-Hamiltonian structure, Conservation law, Dispersionless limit, High-frequency limit, Hydrodynamic type system, Integrable dispersive systems, Lax pair |
| 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. |
| DOI | 10.1007/s00332-018-9466-x |