Elliptic traveling waves of the Olver equation

Nonlinear waves on water are studied. The method recently developed by Demina and Kudryashov is applied to the Olver water wave equation. New solutions of this equation are found. These solutions are expressed in terms of the Weierstrass elliptic function.

Highlight
► The Olver equation for description of waves is studied.
► Algorithm for constructing traveling wave solutions of the Olver equation is presented.
► Elliptic solutions of the Olver equation are classified and found.