703 research outputs found

    New Darboux Transformation for Hirota-Satsuma coupled KdV System

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    A new Darboux transformation is presented for the Hirota-Satsuma coupled KdV system. It is shown that this Darboux transformation can be constructed by means of two methods: Painlev\'{e} analysis and reduction of a binary Darboux transformation. By iteration of the Darboux transformation, the Grammian type solutions are found for the coupled KdV system.Comment: LaTeX 2.09, 10 page

    Decouple a coupled KdV system of Nutku and O\~{g}uz

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    A coupled KdV system with a free parameter proposed by Nutku and O\~{g}uz is considered. It is shown that the system passes the WTC's Painlev\'{e} test for arbitrary value of the parameter. A further analysis yields that the parameter can be scaled away and the system can be decoupled.Comment: LaTeX 209, 4 page

    Thio­phene-2-carbaldehyde 2,4-dinitro­phenyl­hydrazone

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    In the approximately planar molecule of the title compound, C11H8N4O4S, the dihedral angle between the thio­phene and benzene rings is 5.73 (10)°. In the crystal structure, bifurcated inter/intra­molecular N—H⋯(O,O) hydrogen bonds are present. The intermolecular links lead to inversion dimers containing an R 2 2(12) graph-set motif

    Coupled KdV equations derived from atmospherical dynamics

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    Some types of coupled Korteweg de-Vries (KdV) equations are derived from an atmospheric dynamical system. In the derivation procedure, an unreasonable yy-average trick (which is usually adopted in literature) is removed. The derived models are classified via Painlev\'e test. Three types of τ\tau-function solutions and multiple soliton solutions of the models are explicitly given by means of the exact solutions of the usual KdV equation. It is also interesting that for a non-Painlev\'e integrable coupled KdV system there may be multiple soliton solutions.Comment: 19 pages, 2 figure


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    Background: As a bioactive composite extracted from American cockroach, Xinmailong injection (XML) is used for the treatment of congestive heart failure (CHF) in China. Clinical data has provided evidence that XML has positive inotropic properties. The objective of this study was to assess the mechanisms involved in the therapeutical effect of XML on CHF. Materials and Methods: The effects of XML on the cardiac function in isolated rat heart were measured. A Ca2+ imaging technology was used in rat cardiomyocytes (H9c2 cells) to reveal the role of XML on Ca2+ channels. Meanwhile, the effects of XML on the activities of Na+/K+ ATPase and sodium/calcium exchanger were measured. In addition, the level of reactive oxygen species and the protein expressions for the superoxide dismutase and hemeoxygenase were determined in the cardiomyocytes. Results: The results showed that XML increased the electrical impulse-induced [Ca2+]i in H9c2 cells, which was dependant on extracellular Ca2+ and was abolished by ML218-HCl (a T-type Ca2+channels antagonist) but not nimodipine (a L-type Ca2+channels antagonist). Ouabain, a Na+/K+-ATPase inhibitor, increased the electrical impulse-induced [Ca2+]i, which was significantly inhibited by XML. Moreover, XML markedly inhibited the Na+/K+ ATPase activity in H9c2 cells. In addition, XML notably reduced the production of reactive oxygen species and enhanced the protein expressions of antioxidant enzymes including superoxide dismutase 1, superoxide dismutase 2 and hemeoxygenase 1 in H9c2 cell. Conclusion: Our findings pave the ways to the better understandings of the therapeutic effects of XML on cardiovascular system

    A simulation study on the measurement of D0-D0bar mixing parameter y at BES-III

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    We established a method on measuring the \dzdzb mixing parameter yy for BESIII experiment at the BEPCII e+ee^+e^- collider. In this method, the doubly tagged ψ(3770)D0D0\psi(3770) \to D^0 \overline{D^0} events, with one DD decays to CP-eigenstates and the other DD decays semileptonically, are used to reconstruct the signals. Since this analysis requires good e/πe/\pi separation, a likelihood approach, which combines the dE/dxdE/dx, time of flight and the electromagnetic shower detectors information, is used for particle identification. We estimate the sensitivity of the measurement of yy to be 0.007 based on a 20fb120fb^{-1} fully simulated MC sample.Comment: 6 pages, 7 figure