Soliton motion in the case of a nonzero reflection coefficient
| dc.contributor.author | Martínez Alonso, Luis | |
| dc.date.accessioned | 2023-06-21T02:09:47Z | |
| dc.date.available | 2023-06-21T02:09:47Z | |
| dc.date.issued | 1985 | |
| dc.description | ©1985 The American Physical Society. The author wishes to thank G. Garcia Alcaine for helpful conversations. Partial financial support by Comision Asesora de Investigacion Cientifica y Tecnica is gratefully acknowledged. | |
| dc.description.abstract | A method is given for finding the shifts in position of the solitons for the case of nonzero reflection coefficient. Expressions for boost generators in terms of scattering data play a prominent role in the analysis. Phase-shift formulas which show the effect of the radiation component on the soliton motion are deduced for the nonlinear Schrodinger equation, the Korteweg —de Vries equation, and the sine-Gordon equation. | |
| dc.description.department | Depto. de Física Teórica | |
| dc.description.faculty | Fac. de Ciencias Físicas | |
| dc.description.refereed | TRUE | |
| dc.description.sponsorship | Comision Asesora de Investigacion Cientifica y Tecnica | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/34593 | |
| dc.identifier.doi | 10.1103/PhysRevLett.54.499 | |
| dc.identifier.issn | 0031-9007 | |
| dc.identifier.officialurl | http://dx.doi.org/10.1103/PhysRevLett.54.499 | |
| dc.identifier.relatedurl | http://journals.aps.org | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/65009 | |
| dc.issue.number | 6 | |
| dc.journal.title | Physical review letters | |
| dc.language.iso | eng | |
| dc.page.final | 501 | |
| dc.page.initial | 499 | |
| dc.publisher | American Physical Society | |
| dc.rights.accessRights | open access | |
| dc.subject.cdu | 51-73 | |
| dc.subject.keyword | Physics | |
| dc.subject.keyword | multidisciplinary | |
| dc.subject.ucm | Física-Modelos matemáticos | |
| dc.subject.ucm | Física matemática | |
| dc.title | Soliton motion in the case of a nonzero reflection coefficient | |
| dc.type | journal article | |
| dc.volume.number | 54 | |
| dcterms.references | 1. S. Tanaka, Publ. Res. Inst. Math. Sci. (Kyoto Univ. ) 10, 367 (1975);G. Scharf and W. F. Wreszinski, Phys. Lett. 99A, 275 (1983). 2. S. V. Manakov, Zh. Eksp. Teor. Fiz. 65, 1392 (1973) [Sov. Phys. JETP 38, 693 (1974)]; 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. Aka. Nauk SSSR 261, 14 (1981) [Sov. Math. Dokl. 24, 452 (1981)]. 3. M. J. Ablowitz and Y. Kodama, Stud. Appl. Math. 66, 159 (1982). 4. V. E. Zakharov, Zh. Eksp. Teor. Fiz. 60, 993 (1971) [Sov. Phys. JETP 33, 538 (1971)]. 5. L. Martínez Alonso, J. Math. Phys. 23, 1518 (1982). 6. L. Martínez Alonso, J. Math. Phys. 24, 982 (1983). 7. L. Martínez Alonso, J. Math. Phys. 24, 2652 (1983). 7. L. Martínez Alonso, Phys. Rev. D 30, 2595 (1984). 9. V. E. Zakharov and A. B. Shabat, Zh. Eksp. Teor. Fiz. 61, 118 (1971) [Sov. Phys. JETP 34, 62 (1972)]. 10. The asymptotic behavior of the integral term in the kernel can be studied by following the method used by Tanaka in Lemmas 3.2 and 3.3 of Ref. 1. 11. L. Martínez Alonso, J. Phys. A 17, 2729 (1984); P. Schuur, Phys. Lett. 102A, 387 (1984). | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 896aafc0-9740-4609-bc38-829f249a0d2b | |
| relation.isAuthorOfPublication.latestForDiscovery | 896aafc0-9740-4609-bc38-829f249a0d2b |
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