| Autor: |
S C Anco, E D Avdonina, A Gainetdinova, L R Galiakberova, N H Ibragimov, T Wolf |
| Předmět: |
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| Zdroj: |
Journal of Physics A: Mathematical & Theoretical; 3/11/2016, Vol. 49 Issue 10, p1-1, 1p |
| Abstrakt: |
A computational classification of contact symmetries and higher-order local symmetries that do not commute with , as well as local conserved densities that are not invariant under is carried out for a generalized version of the Krichever–Novikov (KN) equation. Several new results are obtained. First, the KN equation is explicitly shown to have a local conserved density that contains . Second, apart from the dilational point symmetries known for special cases of the KN equation and its generalized version, no other local symmetries with low differential order are found to contain . Third, the basic Hamiltonian structure of the KN equation is used to map the local conserved density containing into a nonlocal symmetry that contains . Fourth, a recursion operator is applied to this nonlocal symmetry to produce a hierarchy of nonlocal symmetries that have explicit dependence on . When the inverse of the Hamiltonian map is applied to this hierarchy, only trivial conserved densities are obtained. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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