New Jacobi Elliptic Function Solutions for the Kudryashov-Sinelshchikov Equation Using Improved F-Expansion Method

Yinghui He

Mathematical Problems in Engineering, 2013, vol. 2013, 1-6

Abstract:

Based on the F-expansion method with a new subequation, an improved F-expansion method is introduced. As illustrative examples, some new exact solutions expressed by the Jacobi elliptic function of the Kudryashov-Sinelshchikov equation are obtained. When the modulus m of the Jacobi elliptic function is driven to the limits 1 and 0, some exact solutions expressed by hyperbolic function and trigonometric function can also be obtained. The method is straightforward and concise and is promising and powerful for other nonlinear evolution equations in mathematical physics.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:104894

DOI: 10.1155/2013/104894

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