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(Referência obtida automaticamente do Web of Science, por meio da informação sobre o financiamento pela FAPESP e o número do processo correspondente, incluída na publicação pelos autores.)

Construction of type-II Backlund transformation for the mKdV hierarchy

Texto completo
Autor(es):
Gomes, J. F. [1] ; Retore, A. L. [1] ; Zimerman, A. H. [1]
Número total de Autores: 3
Afiliação do(s) autor(es):
[1] Inst Fis Teor UNESP, BR-01140070 Sao Paulo - Brazil
Número total de Afiliações: 1
Tipo de documento: Artigo Científico
Fonte: Journal of Physics A-Mathematical and Theoretical; v. 48, n. 40 OCT 9 2015.
Citações Web of Science: 2
Resumo

From an algebraic construction of the mKdV hierarchy we observe that the space component of the Lax operator plays the role of a universal algebraic object. This fact induces the universality of a gauge transformation that relates two field configurations of a given member of the hierarchy. Such gauge transformation generates the Backlund transformation (BT). In this paper we propose a systematic construction of BT for the entire mKdV hierarchy from the known type-II BT of the sinh-Gordon theory. We explicitly construct the BT of the first few integrable models associated to positive and negative grade-time evolutions. Solutions of these transformations for several cases describing the transition from vacuum-vacuum and the vacuum to one-soliton solutions which determines the value for the auxiliary field and the Backlund parameter respectively, independently of the model. The same follows for the scattering of two one-soliton solutions. The resultant delay is determined by a condition independent of the model considered. (AU)

Processo FAPESP: 15/00025-9 - Transformações de Backlund em hierarquias integráveis, sólitons e defeitos integráveis
Beneficiário:Ana Lúcia Retore
Linha de fomento: Bolsas no Brasil - Doutorado