[en] In this Letter, based on the idea of homogeneous balance (HB) method and with help of MATHEMATICA, we obtain a new auto-Baecklund transformation for compound KdV-type and compound KdV-Burgers-type equations with nonlinear terms of any order. Then based on the Baecklund transformation, some solutions for these two equations are derived

[en] Making use of a new generalized ansatzes, we present the generalized extended tanh-function method for constructing the exact solutions of nonlinear partial differential equations (NPDEs) in a unified way. Applying the generalized method, with the aid of MAPLE, we consider the Wu-Zhang equation (which describes (1+1)-dimensional dispersive long wave). As a result, we can successfully obtain the solitary wave solutions that can be found by the extended tanh-function method and the modified extended tanh-function method. More importantly, for the equation, we also obtain other new and more general solutions at the same time. The results include kink-profile solitary wave solutions, bell-profile solitary wave solutions, periodic wave solutions, rational solutions, singular solutions and other new formal solutions. As an illustrative sample, the properties of some soliton solutions for Wu-Zhang equation are shown by some figures

[en] In this Letter, we study (2+1)-dimensional Boussinesq equation and (3+1)-dimensional KP equation by using the new generalized transformation in Homogeneous Balance Method (HBM). As a result, many explicit exact solutions, which contain new solitary wave solutions, periodic wave solutions and the combined formal solitary wave solutions and periodic wave solutions, are obtained

[en] Three oxamido-bridged copper(II)-lanthanide(III) heterobinuclear complexes described by the overall formula Cu(oxen)Ln(phen)₂(ClO₄)₃ (oxen=N,N'-bis(2-aminoethyl)oxamide, Ln=Eu, Gd, and Er, phen=1,10-phenanthroline), have been synthesized and characterized by the elemental analyses, IR spectroscopy, X-ray analysis and energy dispersive spectrometer (EDS) analysis. The thermal decomposition of the complexes was studied by TG, DTG, and DTA technique under dynamic nitrogen atmosphere. The decompositions of these complexes took place through four stages. The second and third stages were analyzed kinetically by means of the Achar method and the Coats-Redfern method. The activation energies, pre-exponential factors and the most probable kinetic model function were determined for these stages

[en] In this paper, with the help of symbolic computation, the projective Riccati equations method is extended to find some new exact solutions of the nonlinear Schroedinger model with varying dispersion, nonlinearity, and gain or absorption. As a result, four families of Soliton-like solutions in these models are obtained

[en] A method for obtaining cryptographically strong 8 x 8 S-boxes based on chaotic maps is presented and the cryptographical properties such as bijection, nonlinearity, strict avalanche criterion, output bits independence criterion and equiprobable input/output XOR distribution of these S-boxes are analyzed in detail. The results of numerical analysis also show that the S-boxes proposed are of the above properties and can resist the differential attack. Furthermore, our approach is suitable for practical application in designing cryptosystem

[en] In recent times, Mn doped quantum dot sensitized solar cells (QDSSCs) have shown a lot of interest as it provides a different strategy to improve the photovoltaic performances. In this work, we have systematically studied the effect of Mn"2"+ dopant concentration on the photovoltaic performances of CdS based QDSSCs. The open circuit potential increases systematically with increase in Mn"2"+ dopant concentration. The efficiency of the solar cell increases from 1.63% to 2.53% from undoped to 7.5% doped CdS. The role of Mn"2"+ in enhancing the photovoltaic performances was further probed by open circuit voltage decay and the energy levels were studied using transient absorption spectroscopy. Both spin and orbital forbidden Mn d-d transition ("4T_1 – "6A_1) helps in reducing the recombination inside the solar cell, which improves the overall photovoltaic performances

[en] Highlights: • This model can predict the performance of a single cell in a dead-ended anode mode. • The hypothesis of how current density affects nitrogen accumulation is proposed. • The model was calibrated and validated by experiments. • Nitrogen concentration is regarded as a parameter for anode purge strategy. - Abstract: When a proton exchange membrane fuel cell (PEMFC) system is operated in the dead-ended anode mode, nitrogen will gradually permeate from the cathode to the anode. The accumulation of nitrogen in the anode causes a performance drop, which can be recovered by purging. The purge strategy depends on operating conditions of the PEMFC. To investigate the effect of operating conditions on the performance of a PEMFC with a dead-ended anode, a mathematical model is developed to estimate the nitrogen crossover and accumulation in the anode of the PEMFC, especially for varying-load operations. The effect of operating current density on nitrogen crossover is coupled in the model. Parameters in the model are calibrated according to experimental data. The experiments are designed to measure the voltage variations of the single cell with dead-ended anode at different operating current densities. The effect of current density on purge frequency and voltage variation is shown. Simulation results by this calibrated model agree well with experimental data. The transient of hydrogen concentration in the anode is investigated by the model. A purge strategy is suggested at the end of this study

[en] Three Pb(II) complexes ([Pb₃(BOABA)₂(H₂O)]·H₂O)_n (1), ([Pb₄(BOABA)₂(µ₄-O)(H₂O)₂]·H₂O)_n (2), and [Pb₃(BOABA)₂(H₂O)]_n (3) (H₃BOABA=3,5-bis-oxyacetate-benzoic acid) were obtained under the same reaction systems with different temperatures. Complexes 1 and 2 are two dimensional (2D) networks based on Pb-BOABA chains and Pb₄(µ₄-O)(COO)₆ SBUs, respectively. Complex 3 presents an interesting three dimensional (3D) framework, was obtained by increasing the reaction temperature. Structural transition of the crystallization products is largely dependent on the reaction temperature. Moreover, the fluorescence properties of complexes 1–3 have been investigated. - Graphical abstract: Three Pb(II) coordination polymers were obtained under the same reaction systems with different temperatures. Both of complexes 1 and 2 are 2D network. 3 presents a 3D framework based on Pb–O–C rods SBUs. The 2D to 3D structures transition between three complexes was achieved successfully by temperature control. - Highlights: • Three Pb(II) complexes were obtained under the same reaction systems with different temperatures. • Structural transition of the crystallization products is largely dependent on the reaction temperature. • The luminescence properties studies reveal that three complexes exhibit yellow fluorescence emission behavior, which might be good candidates for obtaining photoluminescent materials.

[en] Primary piping steel of Z3CN20-09M for nuclear power plant is melted by combination of electric furnace and AOD furnace, ferrite content of Z3CN20-09M are adjusted based on the compute result of Scharffler. Measures by enlarging the wall thickness of shell, decreasing inside diameter of the baffle, selecting greater g value and increasing machining allowances of internal surface, etc, in centrifugal casting process, sample of primary piping are cast. Measure results show that various performance of sample of primary piping the needs of RCC-M are without exception meet