Application of simplest equations of Bernoulli and Riccati kind for obtaining exact traveling-wave solutions for a class of PDEs with polynomial nonlinearity

By Nikolay K. Vitanov. 2010

234 citations recorded by the source corpus.

Subfields: Mathematical Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/4ab0aa4af35afc26f04a22b1e13dda65bfb62e7f

How researchers see this paper

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

In Mathematical Physics

1. Zlatinka I. Dimitrova
2. Nikolay K. Vitanov

In Statistical and Nonlinear Physics

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

Citations in the corpus

• Modified method of simplest equation: Powerful tool for obtaining exact and approximate traveling-wave solutions of nonlinear PDEs (2011, methodology): “Below we shall follow another idea [13,14].”
• 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): “Below we shall follow another idea [6].”