Para depositar en Docta Complutense, identifícate con tu correo @ucm.es en el SSO institucional: Haz clic en el desplegable de INICIO DE SESIÓN situado en la parte superior derecha de la pantalla. Introduce tu correo electrónico y tu contraseña de la UCM y haz clic en el botón MI CUENTA UCM, no autenticación con contraseña.
 

Soliton-radiation interaction in nonlinear integrable lattices

Simple item page
dc.contributor.authorMartínez Alonso, Luis
dc.date.accessioned2023-06-20T20:12:26Z
dc.date.available2023-06-20T20:12:26Z
dc.date.issued1987-07-15
dc.description©Amer Physical Soc. It is a pleasure to thank Professor P. C. Sabatier and the group of the Laboratoire de Physique Mathematique of Montpellier University for warm hospitality while this work was in progress. Partial financial support from the Comision Asesora de Investigacion Cientifica y Tecnica, Spain is also acknowledged.
dc.description.abstractThe effect of the radiation modes on soliton motion in nonlinear lattices is investigated. A method based on the inverse scattering transform is developed, which enables us to characterize the position shifts of solitons due to their interaction with the radiation component. Applications to the Toda and
dc.description.departmentDepto. de Física Teórica
dc.description.facultyFac. de Ciencias Físicas
dc.description.refereedTRUE
dc.description.sponsorshipComision Asesora de Investigacion Cientifica y Tecnica, Spain
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/34522
dc.identifier.doi10.1103/PhysRevD.36.426
dc.identifier.issn0556-2821
dc.identifier.officialurlhttp://dx.doi.org/10.1103/PhysRevD.36.426
dc.identifier.relatedurlhttp://journals.aps.org
dc.identifier.urihttps://hdl.handle.net/20.500.14352/59834
dc.issue.number2
dc.journal.titlePhysical review D
dc.language.isoeng
dc.page.final431
dc.page.initial426
dc.publisherAmer Physical Soc
dc.rights.accessRightsopen access
dc.subject.cdu51-73
dc.subject.keywordAstronomy & astrophysics
dc.subject.keywordPhysics
dc.subject.keywordParticles & fields
dc.subject.ucmFísica de materiales
dc.subject.ucmFísica matemática
dc.titleSoliton-radiation interaction in nonlinear integrable lattices
dc.typejournal article
dc.volume.number36
dcterms.references1. M. Toda, Theory of Nonlinear Lattices (Springer, Berlin, 1981). 2. M. J. Ablowitz and H. Segur, Solitons and the Inoerse Scattering Transform (SIAM, Philadelphia, 1981). 3. B. A. Kupershmidt, Discrete Lax Equations and Differential Difference Calculus, Asterisque 123 (Societe Mathematique de France, Paris, 1985). 4. N. Theodorakopoulos, in Dynamical Problems in Soliton Systems, proceedings of the Seventh Kyoto Summer Institute, edited by S. Takeno (Springer, Berlin, 1985). 5. L. Martinez Alonso, Phys. Rev. D 32, 1459 (1985). 6. S. V. Manakov, Zh. Eksp. Teor. Fiz. 67, 543 (1974) [Sov. Phys. JETP 40, 269 (1975)]. 7. V. E. Zakharov, S. V. Manakov, S. P. Novikov, and L. P. Pitaevskii, Theory of Solitons: The Inverse Scattering Method (Pl, N Y k, 1984). 8. For a treatment of truncated asymptotic solutions and their applications to a continuous system, see L. Martínez Alonso, Phys. Lett. 112A, 361 (1985). 9. This condition is always satisfied by those members of the Toda hierarchy for which the integer M in Eq. (2.15) is even. In particular, it holds for the Toda lattice. 10. N. Theodorakopoulos and F. G. Mertens, Phys. Rev. B 28, 3512 (1983). 11. This equation is obtained by setting z =k^1 in Eq. (2.5) of Ref. 7, p. 52.
dspace.entity.typePublication
relation.isAuthorOfPublication896aafc0-9740-4609-bc38-829f249a0d2b
relation.isAuthorOfPublication.latestForDiscovery896aafc0-9740-4609-bc38-829f249a0d2b

Download

Original bundle

Now showing 1 - 1 of 1
Thumbnail Image
Name:
martinezalonso81libre.pdf
Size:
229.97 KB
Format:
Adobe Portable Document Format
downoload Download

Collections

Artículos