Closed form solutions of a chaotic equation using the method of elliptic truncation

Hunting for any analytic exact solutions in closed form of any nonlinear ordinary differential equation is always a challenge to mathematicians. The equation considered in this paper is the wave traveling reduction to the Kuramoto–Sivashinsky equation. This equation has attracted considerable attention, due to its occurrence in many areas, in physics and in chemistry. We introduce a method which involves a truncation procedure in relation to elliptic functions. We call this method as Elliptic Truncation Method. We then attempt to establish some exact solutions by this method. Copyright © 2016 Research India Publications.