One method for finding exact solutions of nonlinear differential equations. (English) Zbl 1250.35055

Kudryashov, Nikolay A.

Commun. Nonlinear Sci. Numer. Simul. 17, No. 6, 2248-2253 (2012).

Summary: One of old methods for finding exact solutions of nonlinear differential equations is considered. Modifications of the method are discussed. Application of the method is illustrated for finding exact solutions of the Fisher equation and nonlinear ordinary differential equation of the seventh order. It is shown that the method is one of the most effective approaches for finding exact solutions of nonlinear differential equations. Merits and demerits of the method are discussed.

MSC:

35C05	Solutions to PDEs in closed form
35A25	Other special methods applied to PDEs
35C07	Traveling wave solutions

Keywords:

nonlinear evolution equation; Fisher equation

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