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    A note on exp-function method combined with complex transform method applied to fractional differential equations
    (Walter de Gruyter Gmbh, 2015) Güner, Özkan; Bekir, Ahmet; Bilgil, Halis
    In this article, the fractional derivatives in the sense of modified Riemann-Liouville and the exp-function method are used to construct exact solutions for some nonlinear partial fractional differential equations via the nonlinear fractional Liouville equation and nonlinear fractional Zoomeron equation. These nonlinear fractional equations can be turned into another nonlinear ordinary differential equation by complex transform method. This method is efficient and powerful in solving wide classes of nonlinear fractional order equations. The exp-function method appears to be easier and more convenient by means of a symbolic computation system.
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    Öğe
    Optical soliton solutions for the variable coefficient modified Kawahara equation
    (Elsevier GmbH, 2015) Bekir, Ahmet; Güner, Özkan; Bilgil, Halis
    In this paper, we obtain the 1-soliton solutions of the variable-coefficient modified Kawahara equation (VCMKE). The dark optical as well as bright optical soliton solutions were found related to the model considered in this study. The solitary wave ansatz method is used to carry out the integration.