A classification of integrable quasiclassical deformations of algebraic curves
| dc.contributor.author | Konopelchenko, Boris | |
| dc.contributor.author | Martínez Alonso, Luis | |
| dc.contributor.author | Medina Reus, Elena | |
| dc.date.accessioned | 2023-06-20T11:02:52Z | |
| dc.date.available | 2023-06-20T11:02:52Z | |
| dc.date.issued | 2006-08-08 | |
| dc.description | ©IOP Publishing . The authors wish to thank Prof. Y. Kodama for his interest and help during the elaboration of this work. | |
| dc.description.abstract | A previously introduced scheme for describing integrable deformations of algebraic curves is completed. Lenard relations are used to characterize and classify these deformations in terms of hydrodynamic-type systems. A general solution of the compatibility conditions for consistent deformations is given and expressions for the solutions of the corresponding Lenard relations are provided. | |
| dc.description.department | Depto. de Física Teórica | |
| dc.description.faculty | Fac. de Ciencias Físicas | |
| dc.description.refereed | TRUE | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/34290 | |
| dc.identifier.doi | 10.1088/0305-4470/39/36/008 | |
| dc.identifier.issn | 0305-4470 | |
| dc.identifier.officialurl | http://dx.doi.org/10.1088/0305-4470/39/36/008 | |
| dc.identifier.relatedurl | http://iopscience.iop.org | |
| dc.identifier.relatedurl | http://arxiv.org/abs/nlin/0604048 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/51642 | |
| dc.issue.number | 36 | |
| dc.journal.title | Journal of physics A: Mathematical and general | |
| dc.language.iso | eng | |
| dc.page.final | 11246 | |
| dc.page.initial | 11231 | |
| dc.publisher | IOP Publishing | |
| dc.rights.accessRights | open access | |
| dc.subject.cdu | 51-73 | |
| dc.subject.keyword | Hierarchy | |
| dc.subject.ucm | Física-Modelos matemáticos | |
| dc.subject.ucm | Física matemática | |
| dc.title | A classification of integrable quasiclassical deformations of algebraic curves | |
| dc.type | journal article | |
| dc.volume.number | 39 | |
| dcterms.references | [1] S. P. Novikov, S. V. Manakov, L. P. Pitaevski and V. E. Zakharov Theory of solitons, Plenum, New York (1984). [2] E. D. Belokolos, A. I. Bobenko , V. Z. Enolski, A. R. Its and V. B. Matveev, Algebro-Geometric approach to nonlinear integrable equations, Springer-Verlag, Berlin (1994). [3] B. Dubrovin and S. Novikov, Russ. Math. Surv. 44(6), 35 (1989). [4] H. Flaschka, M.G. Forest and D.W. Mclauglin , Commun. Pure Appl. Math 33, 739 (1980). [5] B.A. Dubrovin, Commun. Math. Phys. 145, 415 (1992). [6] I. M. Krichever, Funct. Anal. Appl. 22, 206 (1988). [7] I. M. Krichever, Commun. Pure. Appl. Math. 47, 437 (1994). [8] Y. Kodama and B.G. Konopelchenko, J. Phys. A: Math. Gen. 35, L489-L500 (2002); [9] B.G. Konopelchenko and L. Mart´ınez Alonso, J. Phys. A: Math. Gen. 37, 7859 (2004). [10] Y. Kodama, B.G. Konopelchenko and L. Martínez Alonso, Theor. Math. Phys. 144, 961 (2005) [11] Y. Kodama, B.G. Konopelchenko, L. Mart´ınez Alonso and E. Medina, J. Math. Phys. 46 113502 (2005). [12] B. L. van der Waerden,Algebra, Vol. I, Springer- Verlag, Berlin (1991). [13] L. Redei, Introduction to algebra, Vol. I, Pergamon Press, Oxford (1967). [14] R. Y. Walker, Algebraic Curves Springer-Verlag, Berlin (1978). [15] S. S. Abhyankar, Algebraic Geometry for Scientists and Engineers, Mathematical Surveys and Monograps vol. 35, AMS (1990). | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 896aafc0-9740-4609-bc38-829f249a0d2b | |
| relation.isAuthorOfPublication.latestForDiscovery | 896aafc0-9740-4609-bc38-829f249a0d2b |
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