Polynomials in logistic function and solitary waves of nonlinear differential equations

作者：

Highlights：

• Concept of polynomials in logistic function is introduced.

• Nonlinear differential equations with exact solutions in the form of polynomials in logistic function are found.

• It is shown there are solitary waves with many maximum and minimum.

• Algorithm for finding of exact solutions by means of polynomial in logistic function is given.

摘要

Highlights•Concept of polynomials in logistic function is introduced.•Nonlinear differential equations with exact solutions in the form of polynomials in logistic function are found.•It is shown there are solitary waves with many maximum and minimum.•Algorithm for finding of exact solutions by means of polynomial in logistic function is given.

论文关键词：Logistic function,Nonlinear differential equation,Exact solution,Solitary wave series,Polynomial in logistic function

论文评审过程：Available online 20 April 2013.

论文官网地址：https://doi.org/10.1016/j.amc.2013.03.032