Abundant Exact Traveling Wave Solutions of Generalized Bretherton Equation via Improved ( <i>G</i> ′/ <i>G</i> )-Expansion Method

Abstract

In this article, we construct abundant exact traveling wave solutions involving free parameters to the generalized Bretherton equation via the improved (G ' /G)-expansion method. The traveling wave solutions are presented in terms of the trigonometric, the hyperbolic, and rational functions. When the parameters take special values, the solitary waves are derived from the traveling waves.