Generating string solutions in BTZ

Integrability of classical strings in the BTZ black hole enables the construction and study of classical string propagation in this background. We first apply the dressing method to obtain classical string solutions in the BTZ black hole. We dress time like geodesics in the BTZ black hole and obtain open string solutions which are pinned on the boundary at a single point and whose end points move on time like geodesics. These strings upon regularising their charge and spins have a dispersion relation similar to that of giant magnons. We then dress space like geodesics which start and end on the boundary of the BTZ black hole and obtain minimal surfaces which can penetrate the horizon of the black hole while being pinned at the boundary. Finally we embed the giant gluon solutions in the BTZ background in two different ways. They can be embedded as a spiral which contracts and expands touching the horizon or a spike which originates from the boundary and touches the horizon. © 2013 SISSA, Trieste, Italy.

The algebraic structure behind the derivative nonlinear Schrödinger equation

The Kaup-Newell (KN) hierarchy contains the derivative nonlinear Schrödinger equation (DNLSE) amongst others interesting and important nonlinear integrable equations. In this paper, a general higher grading affine algebraic construction of integrable hierarchies is proposed and the KN hierarchy is established in terms of an Ŝℓ2Kac-Moody algebra and principal gradation. In this form, our spectral problem is linear in the spectral parameter. The positive and negative flows are derived, showing that some interesting physical models arise from the same algebraic structure. For instance, the DNLSE is obtained as the second positive, while the Mikhailov model as the first negative flows. The equivalence between the latter and the massive Thirring model is also explicitly demonstrated. The algebraic dressing method is employed to construct soliton solutions in a systematic manner for all members of the hierarchy. Finally, the equivalence of the spectral problem introduced in this paper with the usual one, which is quadratic in the spectral parameter, is achieved by setting a particular automorphism of the affine algebra, which maps the homogeneous into principal gradation. © 2013 IOP Publishing Ltd.

Aplicação da transformada integral generalizada no escoamento potencial em contrações

Pós-graduação em Engenharia Mecânica - FEIS

Implante de cimento de alfa-fosfato tricálcico de dupla pega munido de canais de interconexão em órbita de coelhos

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

O modelo de Skyrme-Faddeev para o SU(N)

Pós-graduação em Física - IFT

Propriedades de escala de um guia de ondas periodicamente corrugado

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Estudo da distribuição de espaçamentos de dubletos utilizando o modelo do bilhar anular

Pós-graduação em Física - IGCE

On the Bäcklund and Darboux transformations for the Tzitzéica model

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Controle na fronteira para um sistema de equações de ondas

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Propriedades e convergência de certas fórmulas de quadratura interpolatórias

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Comportamento assintótico e controlabilidade exata para a equação de Klein-Gordon

Pós-graduação em Matemática - IBILCE

Estrutura algébrica de hierarquias integráveis e problemas de valor de contorno

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Modelos integráveis multicarregados e integrabilidade no plano não comutativo

Pós-graduação em Física - IFT

Multifractality, stickiness, and recurrence-time statistics

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Type-II defects in the super-Liouville theory

The introduction of type-II defects is discussed under the Lagrangian formalism and Lax representation for the N = 1 super-Liouville model. We derive a new kind of super-Backlund transformation for the model and show explicitly the conservation of the modified energy and momentum, as well as supercharge.