The (G'/G)-expansion method is simple and powerful mathematical tool for constructing traveling wave solutions of nonlinear evolution equations which arise in engineering sciences, mathematical physics and real ti...The (G'/G)-expansion method is simple and powerful mathematical tool for constructing traveling wave solutions of nonlinear evolution equations which arise in engineering sciences, mathematical physics and real time application fields. In this article, we have obtained exact traveling wave solutions of the nonlinear partial differential equation, namely, the fourth order Boussinesq equation involving parameters via the (G'/G)-expansion method. In this method, the general solution of the second order linear ordinary differential equation with constant coefficients is implemented. Further, the solitons and periodic solutions are described through three different families. In addition, some of obtained solutions are described in the figures with the aid of commercial software Maple.展开更多
We herein report a glycogen-rich adenocarcinoma occurring in the lower lip of a 44-year-old female. The lesion appeared as painless slowly growing mass in the right side of the lower lip. Histologically, infil-trative...We herein report a glycogen-rich adenocarcinoma occurring in the lower lip of a 44-year-old female. The lesion appeared as painless slowly growing mass in the right side of the lower lip. Histologically, infil-trative tumor nests with duct-like or pseudocyst structure into the mucosa and/or dermis were ob-served. The basaloid neoplastic cells had granular but occasionally vacuolated cytoplasm with salient reaction of diastase-digestible periodic acid-Schiff, thus indicating that they were glycogen-rich in nature. The tumor cells were positive for CEA, cytokeratin, and S-100 protein, and negative for SMA, alpha-1 antitrypsin, and amylase by immunohistochemistry. The origin of the tumor with infiltrative nests was indistinguishable from salivary gland and skin ap-pendage malignancy. A differential diagnosis of this peculiar neoplasm was discussed.展开更多
文摘The (G'/G)-expansion method is simple and powerful mathematical tool for constructing traveling wave solutions of nonlinear evolution equations which arise in engineering sciences, mathematical physics and real time application fields. In this article, we have obtained exact traveling wave solutions of the nonlinear partial differential equation, namely, the fourth order Boussinesq equation involving parameters via the (G'/G)-expansion method. In this method, the general solution of the second order linear ordinary differential equation with constant coefficients is implemented. Further, the solitons and periodic solutions are described through three different families. In addition, some of obtained solutions are described in the figures with the aid of commercial software Maple.
文摘We herein report a glycogen-rich adenocarcinoma occurring in the lower lip of a 44-year-old female. The lesion appeared as painless slowly growing mass in the right side of the lower lip. Histologically, infil-trative tumor nests with duct-like or pseudocyst structure into the mucosa and/or dermis were ob-served. The basaloid neoplastic cells had granular but occasionally vacuolated cytoplasm with salient reaction of diastase-digestible periodic acid-Schiff, thus indicating that they were glycogen-rich in nature. The tumor cells were positive for CEA, cytokeratin, and S-100 protein, and negative for SMA, alpha-1 antitrypsin, and amylase by immunohistochemistry. The origin of the tumor with infiltrative nests was indistinguishable from salivary gland and skin ap-pendage malignancy. A differential diagnosis of this peculiar neoplasm was discussed.
