New unexpected behavior to the soliton arising from the geophysical Korteweg–de Vries equation
Emad H. M. Zahran, Ahmet Bekir
Abstract
In this work, we will construct the new unexpected designs to the solitons arising from geophysical Korteweg–de Vries equation (GPKdVE), which is one of the famous Korteweg–de Vries (KdV) equations. These new soliton designs will be detected in the framework of three different techniques. The three techniques that are chosen for this purpose are the extended direct algebraic method (EDAM), the [Formula: see text]-expansion method and the extended simple equation method (ESEM). Furthermore, we will implement the three suggested techniques in the same vein and parallel. In addition, we will document a comparison not only between our new achieved soliton solutions, but also with that constructed previously by other authors who applied different methods.