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arXiv · 1011.4265

Be careful with the Exp-function method

Nikolay A. Kudryashov·Nadejda B. Loguinova
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Abstract

An application of the Exp-function method to search for exact solutions of nonlinear differential equations is analyzed. Typical mistakes of application of the Exp-function method are demonstrated. We show it is often required to simplify the exact solutions obtained. Possibilities of the Exp-function method and other approaches in mathematical physics are discussed. The application of the singular manifold method for finding exact solutions of the Fitzhugh - Nagumo equation is illustrated. The modified simple equation method is introduced. This approach is used to look for exact solutions of the generalized Korteweg - de Vries equation.

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Nikolay A. Kudryashov, Nadejda B. Loguinova. 2010-11-18. Be careful with the Exp-function method. https://doi.org/10.1016/j.cnsns.2008.07.021

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