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Analytical Solution and Graphical Representation for two Solitons

Analytical Solution u(x,t) for two solitons
The parameters β1 and β2 are any positive real numbers which have to be different. The larger a value βi is (i = 1,2) the faster the corresponding wave travels.

3D Plot for two solitons

Density Plot for two solitons

Animated Graphics with two solitons