The solution of Cahn-Allen equation based on Bernoulli sub-equation method

Abstract

In this article, we present an analytical method for finding the solutions of the Cahn-Allen equation (CAE) based on the Bernoulli sub-equation method (BSEM). We find an infinite number of solutions which are divided into eight families. We end this paper by some comments and closing remarks. AMS Subject Classifications: 76A05, 76W05, 76Z99, 65L05, Keywords: CAE, BSEM, Rational solution