Artículos de revistas
Generalized AKNS System, Non-vanishing Boundary Conditions and N-Dark-Dark Solitons
Registro en:
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).
1813 – 3894
REVCIUNI
Autor
Blas, H.
Da Silva, M. J. B. F.
De O. Assuncao, A.
De O. Assuncao, A.
Blas, H.
Da Silva, M. J. B. F.
Institución
Resumen
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. Revisión por pares