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Effect of the radiation component on soliton motion

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dc.contributor.authorMartínez Alonso, Luis
dc.date.accessioned2023-06-21T02:09:44Z
dc.date.available2023-06-21T02:09:44Z
dc.date.issued1985
dc.description©1985 The American Physical Society. This work was financially supported by the Comision Asesora de Investigacion Cientifica y Tecnica.
dc.description.abstractThe problem of the soliton motion in the case of a nonzero reflection coefficient is solved exactly within the framework of the inverse scattering method. A general method is given for obtaining the asymptotic expressions of the soliton angle variables. As illustrative examples of our procedure, we consider the Korteweg-de Vries equation and its higher analogs, the nonlinear Schrodinger equation, and the sine-Gordon equation.
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/34528
dc.identifier.doi10.1103/PhysRevD.32.1459
dc.identifier.issn0556-2821
dc.identifier.officialurlhttp://dx.doi.org/10.1103/PhysRevD.32.1459
dc.identifier.relatedurlhttp://journals.aps.org
dc.identifier.urihttps://hdl.handle.net/20.500.14352/65007
dc.issue.number6
dc.journal.titlePhysical review D
dc.language.isoeng
dc.page.final1466
dc.page.initial1459
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-Modelos matemáticos
dc.subject.ucmFísica matemática
dc.titleEffect of the radiation component on soliton motion
dc.typejournal article
dc.volume.number32
dcterms.references1.L. Martínez Alonso, Phys. Rev. Lett. 54, 499 (1985). 2. L. Martínez Alonso, J. Math. Phys. 23, 1518 (1982); 24, 982 (1983);24, 2652 (1983);Phys. Rev. D 30, 2595 (1984). 3. M. Göckeler, Z. Phys. C 7, 263 (1981); 11, 125 (1981);K. Sogo and M. Wadati, Prog. Theor. Phys. 69, 431 (1983). 4. V. E. Zakharov, Zh. Eksp. Teor. Fiz. 60, 993 (1971)[Sov. Phys. JETP 33, 538 (1971)]; M. J. Ablowitz and A. C. Newell, J. Math. Phys. 14, 1277 (1973); H. Segur, J. Fluid Mech. 59, 721 (1973); M. J. Ablowitz and H. Segur, Stud. Appl. Math. 66, 159 (1982). 5. S. Tanaka, Publ. Res. Inst. Math. Sci. (Kyoto Univ. ) 10, 367 (1975). 6. S. V. Manakov, Zh. Eksp. Teor. Fiz. 65, 1392 (1973) [Sov. Phys. JETP 38, 693 (1974)]. 7. V. E. Zakharov and S. V. Manakov, Zh. Eksp. Teor. Fiz. 71, 203 (1976) [Sov. Phys. JETP 44, 106 (1976)]; V. Ju Novoksenov, Dokl. Akad. Nauk SSSR 251, 799 (1980) [Sov. Math. Dokl. 21, 529 (1980)]; A. R. Its, Dokl. Akad. Nauk SSSR 261, 14 (1981)[Sov. Math. Dokl. 24, 452 (1981)]. 8. M. J. Ablowitz and Y. Kodama, Stud. Appl. Math. 66, 159 (1982). 9. L. D. Faddeev, Trudy Mat. Inst. Steklov 73, 314 (1964) [Amer. Math. Soc. Transl. 2, 65, 139 (1967)]; P. Deift and E. Trubowitz, Comm. Pure Appl. Math. 32, 121 (1979). 10. C. S. Gardner, J. M. Green, M. D. Kruskal, and R. Miura, Comm. Pure Appl. Math. 27, 97 (1974). 11. L. Martinez Alonso, J. Phys. A 17, 2729 (1984). 12. V. E. Zakharov and A. B. Shabat, Zh. Eksp. Teor. Fiz. 61, 118 (1971)[Sov. Phys. JETP 34, 62 (1972)]. 13. V. E. Zakharov, L. A. Takhtadzhyan, and L. D. Fadeev, Dokl. Akad. Nauk. SSSR 219, 1334 (1974) [Sov. Phys. Dokl. 19, 824 (1975)].
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relation.isAuthorOfPublication896aafc0-9740-4609-bc38-829f249a0d2b
relation.isAuthorOfPublication.latestForDiscovery896aafc0-9740-4609-bc38-829f249a0d2b

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