Analytical Solution and Graphical Representation for one Soliton
Analytical Solution u(x,t) for one soliton
The parameter β1 is any positive real number. The larger it is, the larger is its local maximum and the faster the wave travels as t (the time) proceeds preserving its shape for all values of t.
3D Plot for one soliton
Density Plot for one soliton
Animated Graphics with one soliton