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 dierent techniques. The three techniques that are chosen for
this purpose are the extended direct algebraic method (EDAM), the (G0=G)-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 dierent methods. |