Exact periodic cross-kink wave solutions for the (2+1)-dimensional Boiti-Leon-Manna-Pempinelli equation

Based on the extended homoclinic test technique and the Hirota’s bilinear method, the (2+1)-dimensional Boiti-Leon-Manna-Pempinelli equation is investigated which describes the fluid propagating and can be considered as a model for an incompressible fluid. With the aid of symbolic computation, we introduce two new Ansätz functions to discuss the multiple periodic-soliton solutions of the (2+1)-dimensional Boiti-Leon-Manna-Pempinelli equation. Some entirely new periodic-soliton solutions are presented. The figures corresponding to these solutions are illustrated to show abundant physics structures

Theory for charge and orbital density-wave states in manganite La0.5_{0.5}Sr1.5_{1.5}MnO4_4

We investigate the high temperature phase of layered manganites, and demonstrate that the charge-orbital phase transition without magnetic order in La$_{0.5}$Sr$_{1.5}$MnO$_4$ can be understood in terms of the density wave instability. The orbital ordering is found to be induced by the nesting between segments of Fermi surface with different orbital characters. The simultaneous charge and orbital orderings are elaborated with a mean field theory. The ordered orbitals are shown to be $d_{x^2-y^2} \pm d_{3z^2-r^2}$.Comment: published versio

Evaluating Feynman integrals by the hypergeometry

The hypergeometric function method naturally provides the analytic expressions of scalar integrals from concerned Feynman diagrams in some connected regions of independent kinematic variables, also presents the systems of homogeneous linear partial differential equations satisfied by the corresponding scalar integrals. Taking examples of the one-loop $B_{_0}$ and massless $C_{_0}$ functions, as well as the scalar integrals of two-loop vacuum and sunset diagrams, we verify our expressions coinciding with the well-known results of literatures. Based on the multiple hypergeometric functions of independent kinematic variables, the systems of homogeneous linear partial differential equations satisfied by the mentioned scalar integrals are established. Using the calculus of variations, one recognizes the system of linear partial differential equations as stationary conditions of a functional under some given restrictions, which is the cornerstone to perform the continuation of the scalar integrals to whole kinematic domains numerically with the finite element methods. In principle this method can be used to evaluate the scalar integrals of any Feynman diagrams.Comment: 39 pages, including 2 ps figure

Methyl 2-[(4-chloro-2-meth­oxy-5-oxo-2,5-dihydro­furan-3-yl)amino]­acetate

The title compound, C8H10ClNO5, was obtained via a tandem Michael addition–elimination reaction of 3,4-dichloro-5-meth­oxy­furan-2(5H)-one and glycine methyl ester in the presence of triethyl­amine. The mol­ecular structure contains an approximately planar [maximum atomic deviation = 0.010 (2) Å] five-membered furan­one ring. The crystal packing is stabilized by inter­molecular N—H⋯O and weak C—H⋯O hydrogen bonding

(E)-Methyl 2-chloro-4-dicyclo­hexyl­amino-4-oxobut-2-enoate

In the title compound, C17H26ClNO3, both cyclo­hexyl rings have chair conformations. In the crystal, mol­ecules are linked by weak inter­molecular C—H⋯O hydrogen bonds

CsACO4, an ACC oxidase gene regulating male differentiation in cucumber

Ethylene has been implicated as a sex-determining hormone in cucumber: Its exogenous application increases femaleness and gynoecious genotypes were reported to produce more ethylene. 1- aminocyclopropane-1-carboxylate (ACC) oxidase (ACO) is the key enzyme in ethylene biosynthesis. In this study, a 1,188 base pair (bp) fragment was amplified from cucumber (Jinyan-4) genome with degenerated primers derived from the ACO amino acid consensus sequence among different plant species. The putative new gene was analyzed by bioinformatic tools. Phylogenic analysis result of the new gene (CsACO4, GenBank accession number AY450356) was in accordance with the evolution relationship of genetics among various plant species. The result of BLAST showed the sequence presented a very high match with the ACO genes from other plants; the homologue was from 80 to 99%. Using the sequence, a RNA interference (RNAi) transformation vector was constructed through the way of BP cloning. Eleven transgenic plants were obtained. The transgene integrated into cucumber genome was proved with PCR and southern blotting. The morphological exploration showed that the inserted RNAi target fragments could inhibit the endogenous CsACO4 gene expression and that it could regulate male differentiation in the lower nodes in cucumber.Keywords: Cucumber, ACC oxidase gene, RNAi, male differentiatio

Role of AC-cAMP-PKA Cascade in Antidepressant Action of Electroacupuncture Treatment in Rats

Adenylyl cyclase (AC)-cyclic adenosine monophosphate (cAMP)-cAMP-dependent protein kinase A (PKA) cascade is considered to be associated with the pathogenesis and treatment of depression. The present study was conducted to explore the role of the cAMP cascade in antidepressant action of electroacupuncture (EA) treatment for chronic mild stress (CMS)-induced depression model rats. The results showed that EA improved significantly behavior symptoms in depression and dysfunction of AC-cAMP-PKA signal transduction pathway induced by CMS, which was as effective as fluoxetine. Moreover, the antidepressant effects of EA rather than Fluoxetine were completely abolished by H89, a specific PKA inhibitor. Consequently, EA has a significant antidepressant treatment in CMS-induced depression model rats, and AC-cAMP-PKA signal transduction pathway is crucial for it

Syntheses and luminescent properties of a series of new lanthanide azelates

A series of new lanthanide azelates [Ln(aze)(Haze)(H2O)]·H2O {Ln = La (1a), Ce (1b), Pr (1c); H2aze = azelaic acid}, [Ln2(aze)3(phen)2]·H2O [Ln = Nd (2a), Er (2b); phen = 1,10-phenanthroline], [Sm(aze)(Haze)(phen)]·2H2O (3), [Gd(aze)(phen)2]·ClO4 (4) and (Hphen)[Tb2(aze)2(phen)4]·3ClO4 (5) were hydrothermally prepared and structurally characterized.1a-c are isostructural and show 3-D framework based on 1-D infinite [Ln-O-Ln]n chain. 2a-b exhibit sql layer, while 3 displays 1-D chain, where phen ligands locate at both sides of the chain. The Ln3+ ions of 4 and 5 are connected by aze2− into two different types of rare cationic 1-D chains. The luminescent investigations show that both 2a and 2b exhibit interesting NIR luminescence and 5 displays a good potentiality as a luminescent sensor targeted for Fe3+ ion. Of particular interest, lanthanide azelates have not been to date documented, while this work presents the only examples of lanthanide azelates exhibiting luminescent properties. The magnetic properties of some lanthanide azelates were also investigated.publishe