Extended simplest equation method for nonlinear differential equations

By N. Kudryashov, Nadejda B. Loguinova. Applied Mathematics and Computation, 2008

321 citations recorded by the source corpus.

Subfields: Modeling and Simulation, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/258811759ad1efe2c16b5cd70ee06a1e929d84f6

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Modeling and Simulation

1. Nikolay K. Vitanov
2. Zlatinka I. Dimitrova
3. N. Kudryashov

In Statistical and Nonlinear Physics

1. Nikolay K. Vitanov
2. Zlatinka I. Dimitrova
3. N. Kudryashov
4. Hasan Bulut
5. Seyma Tuluce Demiray
6. Y. Pandır
7. Wenxiu Ma
8. Anjan Biswas

Citations in the corpus

• Seven common errors in finding exact solutions of nonlinear differential equations (2009, methodology): “Application of the Riccati equation as the simplest equation (the first variant) [22–26].”
• Application of the method of simplest equation for obtaining exact traveling-wave solutions for two classes of model PDEs from ecology and population dynamics (2010, background): “1) and we know the general solution of the simplest equation or we know at least exact analytical particular solution(s) of the simplest equation [57,58].”