Exact solitary waves of the Fisher equation. (English) Zbl 1222.35054

Kudryashov, Nikolai A.

Phys. Lett., A 342, No. 1-2, 99-106 (2005).

Summary: A new method is presented to search for exact solutions of nonlinear differential equations. This approach is used to look for exact solutions of the Fisher equation. New exact solitary waves of the Fisher equation are given.

MSC:

35C07	Traveling wave solutions
35C99	Representations of solutions to partial differential equations
35K55	Nonlinear parabolic equations
35Q51	Soliton equations

Keywords:

exact solution; nonlinear differential equation; traveling wave; simplest equation method

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