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Title: Generalized AKNS System, Non-vanishing Boundary Conditions and N-Dark-Dark Solitons
Authors: De O. Assuncao, A.
Blas, H.
Da Silva, M. J. B. F.
Keywords: Schrodinger equation (AKNS);Dressing transformation method (DT)
Issue Date: Dec-2012
Publisher: Universidad Nacional de Ingeniería
Citation: 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).
Series/Report no.: Volumen;15
Abstract: 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.
ISSN: 1813 – 3894
Rights: info:eu-repo/semantics/restrictedAccess
Appears in Collections:Vol. 15 Núm. 1 (2012)

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