An infinite number of infinite hierarchies of conserved quantities of the Federbush model. (English) Zbl 0623.58026
The authors give the construction of two Lie-Bäcklund transformations, which are Hamiltonian vector fields leading to an infinite number of hierarchies of conserved functionals and associated Lie-Bäcklund transformations.
Reviewer: N.Jacob
MSC:
| 58J72 | Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds |
| 81T08 | Constructive quantum field theory |
| 34K99 | Functional-differential equations (including equations with delayed, advanced or state-dependent argument) |
Keywords:
hierarchies; Federbush model; Lie-Bäcklund transformations; Hamiltonian vector fields; conserved functionalsSoftware:
REDUCEReferences:
| [1] | DOI: 10.1063/1.527157 · Zbl 0602.58005 · doi:10.1063/1.527157 |
| [2] | Kersten P. H. M., J. Math. Phys. 27 pp 214– (1986) |
| [3] | DOI: 10.1007/BF01218561 · Zbl 0509.46060 · doi:10.1007/BF01218561 |
| [4] | DOI: 10.1063/1.523777 · Zbl 0383.35065 · doi:10.1063/1.523777 |
| [5] | DOI: 10.1016/0375-9601(82)90290-0 · doi:10.1016/0375-9601(82)90290-0 |
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