2.4.1 Solitary Wave
The nonlinear evolution equations that describe the wave process in dispersive and dissipation media have soliton-like solutions for these waves [6]
2.4.2 Soliton
A solitary wave that asymptotically maintains its shape and velocity when interacting nonlinearly with other solitary waves is known as a soliton [43]. The characteristics of Soliton are as follows:
1. Their form is permanent.
2. They are confined to a certain area.
3. Aside from a phase shift, they can interact with other solitons and come out of the collision unaltered.
4. A fine balance between dispersive and nonlinear effects results in soliton.
2.4.3 Travelling Wave
A traveling wave [43] is one in which the medium moves in the direction of the wave's propagation. When studying nonlinear differential equations, traveling waves occur. These waves are represented by the form
u(x,t)=f(x-ct),
and c is the speed of wave propagation. For c>0, the wave moves in the positive x direction whereas the wave moves in the negative x direction for c