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Exact solutions for the KdV equation with forcing term by the generalized tanh-coth method and the \((G'/G)\)-expansion method - MaRDI portal

Exact solutions for the KdV equation with forcing term by the generalized tanh-coth method and the \((G'/G)\)-expansion method (Q469985)

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scientific article; zbMATH DE number 6368375
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Exact solutions for the KdV equation with forcing term by the generalized tanh-coth method and the \((G'/G)\)-expansion method
scientific article; zbMATH DE number 6368375

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    Exact solutions for the KdV equation with forcing term by the generalized tanh-coth method and the \((G'/G)\)-expansion method (English)
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    11 November 2014
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    Summary: An application of the generalized tanh-coth method and the \((G'/G)\)-expansion method to search for exact solutions of nonlinear partial differential equations is analyzed. These methods are used for the KdV equation with forcing term. The generalized tanh-coth method and the \((G'/G)\)-expansion method were used to construct periodic wave and solitary wave solutions of nonlinear evolution equations. It is shown that the generalized tanh-coth method and the \((G'/G)\)-expansion method, with the help of symbolic computation, provide a straightforward and powerful mathematical tool for solving nonlinear problems.
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