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The Basic (<i>G'/G</i>)-Expansion Method for the Fourth Order Boussinesq Equation

Applied Mathematics 2012年第10期3卷 1144-1152页

作者： Hasibun Naher Farah Aini Abdullah School of Mathematical Sciences Universiti Sains Malaysia 11800 Penang Malaysia

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.

关键词： The (G'/G)-Expansion Method the Fourth Order Boussinesq Equation Traveling Wave Solutions Nonlinear Partial differntial Equations

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Glycogen-rich adenocarcinoma in the lower lip: report of a case with particular emphasis on differential diagnosis

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Open Journal of Stomatology 2011年第3期1卷 109-113页

作者： Kazumasa Mori Jun Shimada Nozomi Tamura Nobuaki Tamura 不详

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.

关键词： Adenocarcinoma Glycogen differntial Diagnosis Lower Lip

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