Carbon-coated Li_2FeSiO_4/C cathode materials have been synthesized through a modified ball-milling process. The physical characterizations of Li_2FeSiO_4 were conducted by using X-ray powder diffraction, field-emission scanning electron microscopy and transmission electron microscopy techniques. Field-emission scanning electron microscopy and transmission electron microscopy images revealed that Li_2FeSiO_4/C consists of nanosized particles coated with an amorphous carbon layer. The electrochemical performances of Li_2FeSiO_4/C cathode materials were evaluated through fully assembled lithium batteries via cyclic voltammetry, charge/discharge test and electrochemical impedance spectroscopy. The Li_2FeSiO_4/C cathode materials showed a much improved electrochemical performance in terms of higher specific capacity, better cycling performance and less charge transfer resistance than that of the pristine Li_2FeSiO_4.
We study the hybrid Benjamin-Bona-Mahoney-Burgers equation with dual power-law nonlinearity. Three different techniques - the ansatz method, Lie-symmetry analysis and the (G'/G)-expansion method - are used to find shock wave solutions. Several constraint conditions naturally emerge that guarantee the existence of shock waves. We discuss the nature of the solutions generated by the different methods.
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