One method for finding exact solutions of nonlinear differential equations

By N. Kudryashov. 2011

740 citations recorded by the source corpus.

Abstract 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 seven 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.

Subfields: Geometry and Topology, Numerical Analysis, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/3a2e1bd98d91caf73cc324f0fbe6dcee1b612444

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In Geometry and Topology

1. Hasan Bulut
2. Seyma Tuluce Demiray
3. Y. Pandır

In Numerical Analysis

1. Y. Pandır
2. Hasan Bulut
3. Seyma Tuluce Demiray

In Statistical and Nonlinear Physics

1. Hasan Bulut
2. Seyma Tuluce Demiray
3. Y. Pandır

Citations in the corpus

• New solitary wave solutions of Maccari system (2015, methodology): “equation (Kudryashov, 2012) Qρ 1⁄4Q Q : ð16Þ”
• All exact travelling wave solutions of Hirota equation and Hirota–Maccari system (2016, methodology): “We note that the function Q is solution of equation [45] Qη = Q 2 −Q.”