Integrablility of a classical N=2 super sinh-Gordon model with jump defects

The Lagrangian formalism for the N = 2 supersymmetric sinh-Gordon model with a jump defect is considered. The modified conserved momentum and energy are constructed in terms of border functions. The supersymmetric Backlund transformation is given and an one-soliton solution is obtained.The Lax formulation based on the affine super Lie algebra sl(2, 2) within the space split by the defect leads to the integrability of the model and henceforth to the existence of an infinite number of constants of motion.

Self-trapping of a binary Bose-Einstein condensate induced by interspecies interaction

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

Self-dual hopfions

We construct static and time-dependent exact soliton solutions with nontrivial Hopf topological charge for a field theory in 3 + 1 dimensions with the target space being the two dimensional sphere S(2). The model considered is a reduction of the so-called extended Skyrme-Faddeev theory by the removal of the quadratic term in derivatives of the fields. The solutions are constructed using an ansatz based on the conformal and target space symmetries. The solutions are said self-dual because they solve first order differential equations which together with some conditions on the coupling constants, imply the second order equations of motion. The solutions belong to a sub-sector of the theory with an infinite number of local conserved currents. The equation for the profile function of the ansatz corresponds to the Bogomolny equation for the sine-Gordon model.

Grassmannian and bosonic Thirring models with jump defects

In this paper we discuss the Lax formulation of the Grassmannian and Bosonic Thirring models in the presence of jump defects. For the Grassmannian case, the defect is described by Backlund transformation which is responsible for preserving the integrability of the model. We then propose an extension of the Backlund transformation for the Bosonic Thirring model which is verified by some Backlund transitions like vacuum-one soliton, one soliton-one soliton, one soliton-two solitons and two solitons-two solitons. The Lax formulation within the space split by the defect leads to the integrability of Bosonic Thirring model with jump defects.

Localized modes of binary mixtures of Bose-Einstein condensates in nonlinear optical lattices

The properties of the localized states of a two-component Bose-Einstein condensate confined in a nonlinear periodic potential (nonlinear optical lattice) are investigated. We discuss the existence of different types of solitons and study their stability by means of analytical and numerical approaches. The symmetry properties of the localized states with respect to nonlinear optical lattices are also investigated. We show that nonlinear optical lattices allow the existence of bright soliton modes with equal symmetry in both components and bright localized modes of mixed symmetry type, as well as dark-bright bound states and bright modes on periodic backgrounds. In spite of the quasi-one-dimensional nature of the problem, the fundamental symmetric localized modes undergo a delocalizing transition when the strength of the nonlinear optical lattice is varied. This transition is associated with the existence of an unstable solution, which exhibits a shrinking (decaying) behavior for slightly overcritical (undercritical) variations in the number of atoms.

Permutability of Backlund transformations for N=2 supersymmetric sine-Gordon

The permutability of two Backlund transformations is employed to construct a nonlinear superposition formula and to generate a class of solutions for the N=2 super sine-Gordon model. We present explicitly the one and two soliton solutions.

Matter-wave two-dimensional solitons in crossed linear and nonlinear optical lattices

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

Classical integrable N=1 and N=2 super sinh-Gordon models with jump defects

The structure of integrable field theories in the presence of jump defects is discussed in terms of boundary functions under the Lagrangian formalism. Explicit examples of bosonic and fermionic theories are considered. In particular, the boundary functions for the N = 1 and N = 2 super sinh-Gordon models are constructed and shown to generate the Backlund transformations for its soliton solutions. As a new and interesting example, a solution with an incoming boson and an outgoing fermion for the N = 1 case is presented. The resulting integrable models are shown to be invariant under supersymmetric transformation.

Localized modes in chi((2)) media with PT-symmetric localized potential

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

ASPECTOS MORFOANATÔMICOS DE FRUTOS DE TOMATEIRO CULTIVAR ÂNGELA GIGANTE, SUBMETIDOS A TRATAMENTOS COM REGULADORES VEGETAIS

O presente trabalho teve como finalidade obter dados morfológicos de frutos de tomateiro, Lycopersicon esculentum Mill. `Ângela Gigante', submetidos à ação de reguladores vegetais, em dois ensaios que ocorreram em épocas distintas, em casa de vegetação. As mudas foram selecionadas e transplantadas para vasos com capacidade de 12 L de terra, contendo uma mistura de solo argiloso, areia, matéria orgânica e uma adubação mineral complementar de N, P, K. No segundo ensaio, após o transplante das mudas, além da adubação mineral complementar de N, P, K, efetuaram-se adubações adicionais (fertirrigação). em ambos os ensaios, quando as plantas atingiram quatro folhas definitivas, realizaram-se as pulverizações com giberelina, GA3 50 mg/L; ácido naftalenacético, NAA 100 mg/L; cloreto (2-cloroetil) trimetilamônio, CCC 1.500 mg/L e ácido succínico -2,2 dimetil-hidrazida, SADH 3.000 mg/L. em relação aos estudos anatômicos, observou-se que os tratamentos com retardadores vegetais (CCC e SADH) produziram frutos firmes, com formato tipo barril e ombros salientes; entretanto, em seção transversal, notou-se perda de viscosidade e atrofia de sementes, principalmente nos frutos de plantas tratadas com SADH. Os tratamentos com NAA e GA3 causaram eventual formação de frutos geminados. O tratamento com GA3 apresentou o parênquima do pericarpo com grãos de amido em processo de fragmentação, provavelmente em virtude de o GA3 acelerar a atividade da amilase, afetando o processo de maturação dos frutos e transformando o amido em açúcares. Notaram-se no mesocarpo células com grande quantidade de cristais de oxalato de cálcio sob a forma de areia cristalina. do tratamento com CCC resultaram frutos suculentos com células da placenta degeneradas, deixando livre grande quantidade de mucilagem. O pericarpo apresentou grande quantidade de grãos de amido composto em toda a extensão, provavelmente por haver um atraso no processo de maturação dos frutos.

Síndrome de Rubinstein-Taybi: anomalias físicas, manifestações clínicas e avaliação auditiva

INTRODUÇÃO: A Síndrome de Rubinstein-Taybi foi descrita pela primeira vez em 1963, após a observação dos traços físicos semelhantes apresentados por sete crianças com retardo mental, baixa estatura, polegares grandes e largos e anomalias faciais. Mais tarde, novas publicações definiram outras características dessa síndrome, a qual incide em 1 a cada 300.000 nascidos e apresenta etiologia incerta. Sintomas otorrinolaringológicos e fonoaudiológicos são freqüentes, daí a importância de melhor conhecimento dessa síndrome por esses especialistas. RELATO DE CASO: Apresentamos as principais manifestações clínicas, traços físicos e as avaliações auditivas de cinco crianças portadoras da Síndrome de Rubinstein-Taybi, em atendimento na Faculdade de Medicina de Botucatu (UNESP). Para as avaliações auditivas foram realizados exames de audiometria tonal, imitanciometria e potenciais evocados do tronco encefálico (BERA). As principais características observadas foram: retardo mental, baixa estatura, polegares largos, pirâmide nasal alta, palato ogival, má oclusão dentária, atraso no desenvolvimento neuropsicomotor e de linguagem. DISCUSSÃO: Os traços físicos característicos dos portadores dessa síndrome facilitam o diagnóstico, e muitos deles são responsáveis por sintomas otorrinolaringológicos e fonoaudiológicos, como infeções de vias aéreas superiores, obstrução nasal, otites médias, hipertrofia adenoamigdaliana, surdez condutiva, hipotonia perioral e disfagia. O importante comprometimento cognitivo é responsável pelo atraso no desenvolvimento da linguagem e pelo baixo rendimento escolar. CONCLUSÕES: Frente às várias manifestações otorrinolaringológicas e fonoaudiológicas apresentadas pelas crianças portadoras da Síndrome de Rubinstein-Taybi, torna-se necessário que esses especialistas conheçam melhor essa síndrome para que possam fazer o diagnóstico precoce e orientar o tratamento dessas crianças.

Percepção e ação: direções teóricas e experimentais atuais

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Fluorescent in situ hybridization (FISH) as a diagnostic tool for Williams-Beuren syndrome

Fluorescent in situ hybridization (FISH) with commercial probes covering the elastin gene (ELN) was used to determine the frequency of the 7q11.23 deletion in 18 children clinically diagnosed with Williams-Beuren syndrome (WBS). A de novo deletion was detected in 15 of the children (83%). Diagnostic investigation for WBS started late in childhood (median = 5.8 years). All the children showed facial features typical of the syndrome, mental retardation and developmental delay. Over-friendliness was observed in the majority of cases. Clinodactyly of the 5th finger (n = 13), cardiovascular disease (n = 9), loquacity (n = 9), low birthweight (n = 8), and failure to thrive (n = 9) were observed only in those children with the deletion. Respiratory problems (n = 9), though not previously reported in the literature, was a common finding in the group studied. Our results confirmed that FISH is useful in identifying 7q11.23 deletions in cases of WBS. Clinical manifestations were more evident in the deletion-positive children.

A comparative-analysis of glycosaminoglycans from human umbilical arteries in normal subjects and in pathological conditions affecting pregnancy

BACKGROUND: Vascular cells express different phenotypes in adult and fetal vessels, and the extracellular matrix they synthesize should reflect these differences. Alterations of vascular proteoglycan/glycosaminoglycan is verified in disorders such as hypertension and diabetes, and when occurring during pregnancy, they bring about structural changes to fetal vessels that often lead to impaired fetus growth. Yet there is little data about the extracellular matrix of an important human fetal vessel, the umbilical artery.EXPERIMENTAL DESIGN: This study involved the biochemical characterization of the extracellular matrix of normal umbilical arteries, umbilical arteries from complicated pregnancies (maternal hypertension and diabetes and intrauterine growth retardation syndrome), and, for purpose of comparison, normal adult arteries (aorta and iliac and pulmonary arteries). Although the collagen types I:III ratio was determined in some cases, emphasis was placed on analysis of glycosaminoglycans.RESULTS: Normal umbilical arteries differ from normal adult arteries in that they contain greater concentrations of hyaluronic acid and lesser concentrations of heparan sulfate and chondroitin 4-and 6-sulfate. The umbilical artery also differs from adult arteries in the disaccharide composition of its chondroitin and heparan sulfates and in the molecular weight of this latter glycosaminoglycan. The glycosaminoglycan distribution in umbilical arteries derived from complicated pregnancies is roughly similar to that of controls. However, total glycosaminoglycan and collagen were significantly reduced, and the collagen I:III ratio was increased in the umbilical arteries from hypertension-complicated pregnancies.CONCLUSIONS: the glycosaminoglycan composition of the normal umbilical artery, a fully differentiated tissue, differs in many aspects from that of normal adult arteries. of the cases of complicated pregnancies studied, the extracellular matrix of umbilical arteries was altered only in maternal hypertension. The changes, notably a mild fibrosis, were not very pronounced and should not impair hemodynamic properties of the vessel.

Excitation spectrum for ultrafast photogeneration of charged solitons in polyacetylene

Ultrafast photoinduced absorption by infrared-active vibrational modes is used to detect charged solitons in oriented trans-polyacetylene. Soliton pairs are photogenerated within similar to250 fs with quantum efficiencies (phi(ch)) approaching unity. The excitation spectrum of phi(ch) shows an onset at similar to1.0 eV with a weak photon energy dependence up to 4.7 eV. The results are consistent with the ultrafast soliton formation predicted by Su and Schrieffer and with the Su-Scrieffer-Heeger threshold of 2E(g)/pi for soliton pair production. The recombination dynamics of charged solitons is very fast (initial decay<1 ps) with a modest dependence on the pump photon energy.