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Huangshi, China

Liu W.,Hubei Normal University
Advanced Nonlinear Studies

In this paper, we study the nonlinear fractional Schrödinger system in N. Applying the finite reduction method, we prove that the nonlinear fractional Schrödinger system has multi-peak positive solutions under some suitable conditions. © 2016 by De Gruyter. Source

Photosynthesis-associated nuclear genes (PhANGs) are able to respond to multiple environmental and developmental signals, including light, sugar and abscisic acid (ABA). PhANGs have been extensively studied at the level of transcriptional regulation, and several cis-acting elements important for light responsiveness have been identified in their promoter sequences. However, the regulatory elements involved in sugar and ABA regulation of PhANGs have not been completely characterized. A ribulose-1,5-bisphosphate carboxylase small subunit gene (rbcS) promoter (SSU5C promoter) was isolated from duckweed (Lemna gibba). A series of SSU5C promoter 5′ deletion fragments were fused to an intron-gus gene, and transgenic tobacco suspension cell lines were generated. Assay of tobacco suspension cell line harbouring the complete promoter in the fusion construct indicated that SSU5C promoter was negatively regulated by sugar and ABA under the condition of regular photoperiod. 5′ deletion analysis of SSU5C promoter in transgenic tobacco suspension cell lines confirmed that a region between positions -310 and -152 included the ABA-response region, and that sugar-response cis-acting elements might be located in the region between -152 and -117. Taken together, our results confirmed that the cis-regulatory region responsible for repression by ABA and sugar in the SSU5C promoter was located between -310 and -117. © 2013 Indian Academy of Sciences. Source

Cheng Y.,Sao Paulo State University | Cheng Y.,Hubei Normal University | Adhikari S.K.,Sao Paulo State University
Physical Review A - Atomic, Molecular, and Optical Physics

We study the localization of a cigar-shaped superfluid Bose-Fermi mixture in a quasiperiodic bichromatic optical lattice (OL) for interspecies attraction and intraspecies repulsion. The mixture is described by the Gross-Pitaevskii equation for the bosons, coupled to a hydrodynamic mean-field equation for fermions at unitarity. We confirm the existence of the symbiotic localized states in the Bose-Fermi mixture and Anderson localization of the Bose component in the interacting Bose-Fermi mixture on a bichromatic OL. The phase diagram in boson and fermion numbers showing the regions of the symbiotic and Anderson localization of the Bose component is presented. Finally, the stability of symbiotic and Anderson localized states is established under small perturbations. © 2011 American Physical Society. Source

Chai G.,Hubei Normal University
Computers and Mathematics with Applications

In this paper, we consider the existence of solutions for the nonlinear fractional differential equation CD0+αu(t)+r CD0+α-1u(t)=f(t,u(t)),t∈(0,1) with the boundary value conditions u(0)=u(1),u(ξ)=η,ξ∈(0,1), where CD0+α and CD0+α-1 are the standard Caputo derivative with 1<α≤2,r≠0. By using the contraction mapping principle and the Schauder fixed point theorem, some existence results are obtained. In addition, Lemma 2.6 in this paper is a valuable tool in seeking solvability of the fractional differential equations. © 2011 Elsevier Ltd. All rights reserved. Source

Preparation and photoluminescence behavior of four new europium (III) ternary complexes with b-diketones (1-(6-methoxy-naphthalen-2-yl)-3-phenyl- propane-1,3-dione (MNPPD) and 1-(4-tertbutyl- phenyl)-3-(6-methoxy-naphthalen-2- yl)-propane-1,3-dione (BPMPD)) and 2,2-dipyridine (Bipy) or 1,10-phenanthroline (Phen) were reported, in the solid state. Complexes Eu(MPPD)3Bipy, Eu(BMPD)3Bipy, Eu(MPPD)3Phen and Eu(BMPD)3Phen were characterized by elemental analysis, FT-IR, 1H NMR, UV-vis absorption. The emission spectra show narrow emission bands that arise from the 5D0→ 7FJ (J = 0-4) transitions of the europium ion. Based on the emission spectra and luminescence decay curves in solid state, the intensity parameters (Ω τ ), lifetime (η ) and emission quantum efficiency (η ) were determined. The Ω 2 values indicate that the Eu(III) ion in these complexes is in a highly polarizable chemical environment. Complexes Eu(MPPD)3Bipy and Eu(MPPD)3Phen showed a longer lifetime (s) and a higher luminescence quantum efficiency (g), which indicated that the energy transfer to the europium ion from MNPPD ligand is more efficient than that from BPMPD ligand. © 2013 Elsevier B.V. All rights reserved. Source

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