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Analytical solutions with the improved (G'/G)-expansion method for nonlinear evolution equations

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Published under licence by IOP Publishing Ltd
, , Citation Melike Kaplan et al 2016 J. Phys.: Conf. Ser. 766 012033 DOI 10.1088/1742-6596/766/1/012033

1742-6596/766/1/012033

Abstract

To seek the exact solutions of nonlinear partial differential equations (NPDEs), the improved (G'/G)-expansion method is proposed in the present work. With the aid of symbolic computation, this effective method is applied to construct exact solutions of the (1+1)-dimensional nonlinear dispersive modified Benjamin-Bona-Mahony equation and (3+1)- dimensional Kudryashov-Sinelshchikov equation. As a result, new types of exact solutions are obtained.

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10.1088/1742-6596/766/1/012033