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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