A improved \(\frac{G'}{G}\)-expansion method and its application to Kudryashov-Sinelshchikov equation (Q2870830)
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scientific article; zbMATH DE number 6248577
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A improved \(\frac{G'}{G}\)-expansion method and its application to Kudryashov-Sinelshchikov equation |
scientific article; zbMATH DE number 6248577 |
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21 January 2014
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nonlinear wave equation
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Kudryashov-Sinelshchikov equation
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exact traveling solutions
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improved \(\frac{G'}{G}\)-expansion method
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A improved \(\frac{G'}{G}\)-expansion method and its application to Kudryashov-Sinelshchikov equation (English)
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The aim of this paper is perhaps to rewrite a general nonlinear PDE of the form NEWLINE\[NEWLINEF(u,u_{x}, u_t,u_{xx},u_{xt},\ldots)=0 NEWLINE\]NEWLINE in the form NEWLINE\[NEWLINEG(U,U', U'',\ldots)=0, NEWLINE\]NEWLINE where \(\xi=x-ct\), \(u(x,t)=U(\xi)\), and \(c\) is the speed of light. Furthermore, several formulas including Weierstrass P-function and Jacobi elliptic functions are stated. The claims that eq. (5) is satisfied by the functions on the next page should be validated.
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