Hydrodynamic reductions and solutions of a universal hierarchy

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dc.contributor.authorMartínez Alonso, Luis
dc.contributor.authorShabat, A. B.
dc.date.accessioned2023-06-20T11:03:24Z
dc.date.available2023-06-20T11:03:24Z
dc.date.issued2004-08
dc.description©2004 Plenum Publishing Corporation. The authors thank Professor E. V. Ferapontov for the useful discussions. This work was supported by the Russian Foundation for Basic Research (Grant No. 04-01-00403, A. B. S.), the Presidential Program for Supporting Leading Scientific Schools (Grant No. NSh 1716.2003.1, A. B. S.), the Ministerio de Cultura y Deporte of Spain (grant to A. B. S.) and the DGCYT (Project No. BFM2002-01607, L. M. A.).
dc.description.abstractWe investigate the diagonal hydrodynamic reductions of a hierarchy of integrable hydrodynamic chains and analyze their compatibility with previously introduced reductions of differential type.
dc.description.departmentDepto. de Física Teórica
dc.description.facultyFac. de Ciencias Físicas
dc.description.refereedTRUE
dc.description.sponsorshipRussian Foundation for Basic Research
dc.description.sponsorshipPresidential Program for Supporting Leading Scientific Schools
dc.description.sponsorshipMinisterio de Cultura y Deporte of Spain
dc.description.sponsorshipDGCYT
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/34386
dc.identifier.doi10.1023/B:TAMP.0000036538.41884.57
dc.identifier.issn0040-5779
dc.identifier.officialurlhttp://dx.doi.org/10.1023/B:TAMP.0000036538.41884.57
dc.identifier.relatedurlhttp://link.springer.com/
dc.identifier.relatedurlhttp://arxiv.org/abs/nlin/0312043
dc.identifier.urihttps://hdl.handle.net/20.500.14352/51654
dc.issue.number2
dc.journal.titleTheoretical and mathematical physics
dc.language.isoeng
dc.page.final1085
dc.page.initial1073
dc.publisherSpringer
dc.relation.projectID04-01-00403
dc.relation.projectIDNSh 1716.2003.1
dc.relation.projectIDBFM2002-01607
dc.rights.accessRightsopen access
dc.subject.cdu51-73
dc.subject.keywordEnergy-dependent potentials
dc.subject.keywordEquations
dc.subject.ucmFísica-Modelos matemáticos
dc.subject.ucmFísica matemática
dc.titleHydrodynamic reductions and solutions of a universal hierarchy
dc.typejournal article
dc.volume.number140
dcterms.references1. L. Martínez Alonso and A. B. Shabat, Phys. Lett. A, 300, 58 (2002). 2. L. Martínez Alonso and A. B. Shabat, J. Nonlinear Math. Phys., 10, 229 (2003); “On the prolongation of a hierarchy of hydrodynamic chains,” in: New Trends in Integrability and Partial Solvability (NATO Sci. Ser., Vol. 132, A. B. Shabat et al., eds.), Kluwer, Dordrecht, p. 263. 3. A. B. Shabat, Theor. Math. Phys., 136, 1066 (2003). 4. V. G. Mikhalev, Funct. Anal. Appl., 26, 140 (1992). 5. M. Jaulent and I. Miodek, Lett. Math. Phys., 1, 243 (1976); Lett. Nuovo Cimento, 20, 655 (1977); L. Martínez Alonso, J. Math. Phys., 21, 2342 (1980); M. Antonowicz and A. P. Fordy, Phys. D, 28, 345 (1987); A. N. W. Hone, Phys. Lett. A, 249, 46 (1998). 6. R. Camassa and D. Holm, Phys. Rev. Lett., 71, 1661 (1993). 7. J. Gibbons and Y. Kodama, Phys. Lett. A, 135, 167 (1989); J. Gibbons and S. P. Tsarev, Phys. Lett. A, 211, 19 (1996); 258, 263 (1999); M. Mañas, L. Martínez Alonso, and E. Medina, J. Phys. A, 35, 401 (2002). 8. E. V. Ferapontov and K. R. Khusnutdinova, “On integrability of (2+1)-dimensional quasilinear systems,” nlin.SI/0305044 (2003). 9. M. V. Pavlov, “Integrable hydrodynamic chains,” nlin.SI/0301010 (2003). 10. S. P. Tsarev, Izv. Akad. Nauk USSR, Ser. Mat., 37, 397 (1991).
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relation.isAuthorOfPublication896aafc0-9740-4609-bc38-829f249a0d2b
relation.isAuthorOfPublication.latestForDiscovery896aafc0-9740-4609-bc38-829f249a0d2b

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