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Symmetries of discrete dynamical systems involving two species

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dc.contributor.authorGómez-Ullate Otaiza, David
dc.contributor.authorLafortune, S.
dc.contributor.authorWinternitz, P.
dc.date.accessioned2023-06-20T20:07:53Z
dc.date.available2023-06-20T20:07:53Z
dc.date.issued1999-06
dc.description©1999 American Institute of Physics. The authors thank D. Levi and M. A. Rodriguez for helpful discussions. The research of S.L. and P.W. was partly supported by the NSERC of Canadá and FCAR du Québec. S. L. would like to thank the Departamento de Física Teórica II de la Universidad Complutense for their hospitality during his stay in Madrid. D.G.U.’s work was partly supported by DGES Grant No. PB95-0401. He would like to express his gratitude to the Centre de Recherches Mathématiques for their kind hospitality
dc.description.abstractThe Lie point symmetries of a coupled system of two nonlinear differential-difference equations are investigated. It is shown that in special cases the symmetry group can be infinite dimensional, in other cases up to ten dimensional. The equations can describe the interaction of two long molecular chains, each involving one type of atoms.
dc.description.departmentDepto. de Física Teórica
dc.description.facultyFac. de Ciencias Físicas
dc.description.refereedTRUE
dc.description.sponsorshipNSERC of Canadá
dc.description.sponsorshipFCAR du Québec
dc.description.sponsorshipDGES
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/31105
dc.identifier.doi10.1063/1.532728
dc.identifier.issn0022-2488
dc.identifier.officialurlhttp://dx.doi.org/10.1063/1.532728
dc.identifier.relatedurlhttp://scitation.aip.org
dc.identifier.urihttps://hdl.handle.net/20.500.14352/59633
dc.issue.number6
dc.journal.titleJournal of mathematical physics
dc.language.isoeng
dc.page.final2804
dc.page.initial2782
dc.publisherAmerican Institute of Physics
dc.relation.projectIDPB95-0401
dc.rights.accessRightsopen access
dc.subject.cdu51-73
dc.subject.keywordDifferential-difference-equations
dc.subject.ucmFísica-Modelos matemáticos
dc.subject.ucmFísica matemática
dc.titleSymmetries of discrete dynamical systems involving two species
dc.typejournal article
dc.volume.number40
dcterms.references1. A. Campa, A. Giansanti, A. Tenenbaum, D. Levi, and O. Ragnisco, Phys. Rev. B 48, 10 168 (1993). 2. A. C. Scott, Phys. Rep. 217, 1 (1992). 3. S. Pneumaticos, N. Flytzanis, and M. Remoissenent, Phys. Rev. B 33, 2308 (1986). 4. D. Levi and P. Winternitz, J. Math. Phys. 37, 5551 (1996). 5. D. Levi and P. Winternitz, Phys. Lett. A 152, 335 (199)!. 6. D. Levi and P. Winternitz, J. Math. Phys. 34, 3713 (1993). 7D. Levi, L. Vinet, and P. Winternitz, J. Phys. A 30, 633 (1997). 8. S. Maeda, Math. Japonica 25, 405 (1980); 26, 85 (1981). 9. R. Quispel, H. W. Capel, and R. Sahadevan, Phys. Lett. A 170, 379 (1992). 10. V. A. Dorodnitsyn, J. Sov. Math. 55, 1490 (1991). 11. V. A. Dorodnitsyn, in Symmetries and Integrability of Difference Equations, edited by D. Levi, L. Vinet, and P. Winternitz (AMS, Providence, RI, 1995). 12. R. Floreanini, J. Negro, L. M. Nieto, and L. Vinet, Lett. Math. Phys. 36, 351 (1996). 13. R. Floreanini and L. Vinet, J. Math. Phys. 36, 7024 (1995). 14. J. P. Gazeau and P. Winternitz, Phys. Lett. A 167, 246 (1992); J. Math. Phys. 33, 4087 (1992). 15. N. Jacobson, Lie Algebras (Dover, New York, 1979).
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