Tesis
O teste de Painlevé e a integrabilidade do modelo generalizado de sine-Gordon
Fecha
2014-02-07Registro en:
MOTA, Leonides da Rocha. O teste de Painlevé e a integrabilidade do modelo generalizado de sine-Gordon. 2014. 95 f. Dissertação (Mestrado em Física) - Universidade Federal de Mato Grosso, Instituto de Física, Cuiabá, 2014.
Autor
Achic, Harold Sócrates Blas
http://lattes.cnpq.br/5190551921455693
Achic, Harold Sócrates Blas
212.576.768-65
http://lattes.cnpq.br/5190551921455693
Santos, Alesandro Ferreira dos
874.974.331-72
http://lattes.cnpq.br/2489426500610858
212.576.768-65
Assis, Paulo Eduardo Goncalves de
311.094.608-48
http://lattes.cnpq.br/6124645202489270
Institución
Resumen
In this work the integrability of the generalized sine-Gordon model (GsG) is examined
in the context of the Painlevé test for partial di erential equations (PDEs). We show
that the (GsG) model possesses certain submodels such as the double sine-Gordon (DsG),
Bukhvostov-Lipatov (BL) and the integrable sine-Gordon models. The BL model possesses
some integrable directions in the eld space. Moreover, we classify the kink type solutions
of the (GsG) model through the highest weight representations of the underlying sl(3) Lie
algebra, and we show that these masses belong to certain multiplets in that representation
scheme. We discussed the integrable defocusing NLS model and study the collision of two
dark solitons, in particular we study the phase shift after their collision.