| dc.creator | Blas, H. | |
| dc.creator | Da Silva, M. J. B. F. | |
| dc.creator | De O. Assuncao, A. | |
| dc.creator | De O. Assuncao, A. | |
| dc.creator | Blas, H. | |
| dc.creator | Da Silva, M. J. B. F. | |
| dc.date | 2019-05-09T15:22:06Z | |
| dc.date | 2019-05-09T15:22:06Z | |
| dc.date | 2012-12 | |
| dc.date.accessioned | 2022-12-06T21:28:35Z | |
| dc.date.available | 2022-12-06T21:28:35Z | |
| dc.identifier | De O. Assuncao, A.; Blas, H. & Da Silva, M. (2012). Generalized AKNS System, Non-vanishing Boundary Conditions and N-Dark-Dark Solitons. REVCIUNI, 15(1). | |
| dc.identifier | 1813 – 3894 | |
| dc.identifier | http://hdl.handle.net/20.500.14076/17448 | |
| dc.identifier | REVCIUNI | |
| dc.identifier.uri | https://repositorioslatinoamericanos.uchile.cl/handle/2250/5290601 | |
| dc.description | We consider certain boundary conditions supporting soliton solutions in the generalized non-linear Schrodinger equation (AKNS). Using the dressing transformation (DT) method and the related tau functions we study the AKNSr system for the vanishing, (constant) non-vanishing and the mixed boundary conditions, and their associated bright, dark and bright-dark N-soliton solutions, respectively. Moreover, we introduce a modified DT related to the dressing group in order to consider the free field boundary condition and derive generalized N-dark-dark solitons. We have shown that two-dark-dark-soliton bound states exist in the AKNS2 system, and three and higher-dark-dark-soliton bound states can not exist. As a reduced submodel of the AKNSr system we study the properties of the focusing, defocusing and mixed focusing-defocusing versions of the so-called coupled non-linear Schrodinger equation (r-CNLS), which has recently been considered in many physical applications. The properties and calculations of some matrix elements using level one vertex operators are outlined. | |
| dc.description | Revisión por pares | |
| dc.format | application/pdf | |
| dc.language | eng | |
| dc.publisher | Universidad Nacional de Ingeniería | |
| dc.relation | Volumen;15 | |
| dc.relation | Número;1 | |
| dc.rights | info:eu-repo/semantics/restrictedAccess | |
| dc.rights | http://creativecommons.org/licenses/by-nc-nd/4.0/ | |
| dc.source | Universidad Nacional de Ingeniería | |
| dc.source | Repositorio Institucional - UNI | |
| dc.subject | Schrodinger equation (AKNS) | |
| dc.subject | Dressing transformation method (DT) | |
| dc.title | Generalized AKNS System, Non-vanishing Boundary Conditions and N-Dark-Dark Solitons | |
| dc.type | Artículos de revistas | |
