The KP hierarchy in Miwa coordinates
| dc.contributor.author | Konopelchenko, Boris | |
| dc.contributor.author | Martínez Alonso, Luis | |
| dc.date.accessioned | 2023-06-20T20:12:19Z | |
| dc.date.available | 2023-06-20T20:12:19Z | |
| dc.date.issued | 1999-07-26 | |
| dc.description | ©1999 Published by Elsevier Science. This work was partially supported by CICYT Proyecto No. PB95-0401. | |
| dc.description.abstract | A systematic reformulation of the KP hierarchy by using continuous Miwa variables is presented. Basic quantities and relations are defined and determinantal expressions for Fay's identities an obtained. It is shown that in terms of these variables the KP hierarchy gives rise to a Darboux system describing an infinite-dimensional conjugate net. | |
| dc.description.department | Depto. de Física Teórica | |
| dc.description.faculty | Fac. de Ciencias Físicas | |
| dc.description.refereed | TRUE | |
| dc.description.sponsorship | CICYT | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/34486 | |
| dc.identifier.doi | 10.1016/S0375-9601(99)00373-4 | |
| dc.identifier.issn | 0375-9601 | |
| dc.identifier.officialurl | http://dx.doi.org/10.1016/S0375-9601(99)00373-4 | |
| dc.identifier.relatedurl | http://www.sciencedirect.com | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/59829 | |
| dc.issue.number | 4-jun | |
| dc.journal.title | Physics letters A | |
| dc.language.iso | eng | |
| dc.page.final | 278 | |
| dc.page.initial | 272 | |
| dc.publisher | Elsevier | |
| dc.relation.projectID | PB95-0401 | |
| dc.rights.accessRights | open access | |
| dc.subject.cdu | 51-73 | |
| dc.subject.keyword | Equations | |
| dc.subject.ucm | Física-Modelos matemáticos | |
| dc.subject.ucm | Física matemática | |
| dc.title | The KP hierarchy in Miwa coordinates | |
| dc.type | journal article | |
| dc.volume.number | 258 | |
| dcterms.references | [1] B.B. Kadomtsev, V.I. Petviashvili, Sov. Phys. Doklady 15 (1970) 539. [2] M.J. Ablowitz, P.A. Clarkson, Solitons, nonlinear evolution equations and inverse scattering Cambridge Univ. Press, Cambridge, 1991. [3] B.G. Konopelchenko, Introduction to multidimensional integrable equations, Plenum Press, London, 1992. [4] T. Shiota, Inven. Math. 83 (1986) [5] R. Dijkgraaf, Intersection theory, integrable hierarchies and topological field theory, in: New symmetry principles quantum field theory, Nato ASI, Cargese, 1991, Plenum Press, London, 1991 [6] A. Morozov, Phys. Usp. 37 (1994) [7] P. Di Francesco, P. Ginsparg, J. Zinn-Justin, Phys. Rep. 254 (1995) 1. [8] M. Sato, V. Sato, RIMS Kokyuroku 439 (1981) 30. [9] E. Date, M. Jimbo, M. Kashiwara, T. Miwa, Transformation Groups for Soliton Equations in: M. Jimbo, T. Miwa (Eds), Nonlinear Integrable Systems-Classical Theory and Quantum Theory, World Scientific, Singapore, 1983. [10] M. Jimbo, T. Miwa, Solitons and Infinite University, vol. 19, 1983, p. 943. [11] T. Miwa, Proc. J. Acad. Ser. A 58 (1982) 9. [12] S. Saito, Phys. Rev. Lett. 59 (1987) 1798. [13] I. Krichever, Commun. Math. Phys. 188 (1997) 267. [14] H. Weyl, The classical groups, Princeton Univ. Press, Princeton, 1939. [15] I.G. Macdonald, Symmetric functions and Hall polynomials, Clarendon Press, Oxford, 1979. [16] G. Segal, G. Wilson, Publ. Math. I.H.E.S. 61 (1985) 5. [17] A. Pressley, G. Segal, Loop Groups, Oxford University Press, Oxford, 1986. [18] M. Adler, P. Van Moerbeke, Adv. in Math. 108 (1994) 140. [19] P.G. Grinevich, A.Yu. Orlov, Flag spaces in KP theory and Virasoro action on detD and Segal– Wilson τ-function, in: A.A. Belavin, A.U. Klimyc, A.B. Zamolodchikov (Eds.) , Problems in modern QFT, Springer, Berlin, 1989, pp. 86-106. [20] A. Zabrodin, A survey of Hirota’s difference equations, preprint solv-intr9704001, 1997. [21] L.V. Bogdanov, B.G. Konopelchenko, J. Math. Phys. 39 (1998) 4683. [22] Y. Otha, R. Hirota, S. Tsujimoto, T. Imai, J. Phys. Soc. Jpn. 62 (1993) 1872. [23] G. Darboux, Lecons sur les systemes orthogonaux et les coordonnes curvlignes, Paris, 1897. | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 896aafc0-9740-4609-bc38-829f249a0d2b | |
| relation.isAuthorOfPublication.latestForDiscovery | 896aafc0-9740-4609-bc38-829f249a0d2b |
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