The Korteweg-de Vries equation is the non-linear PDE u_t + u_xxx + 6uu_x = 0. It allows soliton solutions – solitary waves that do not lose their shape, the non-linearity of the equation "cancelling out" the dispersion – which are appropriately-scaled sech² functions.

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Initial state: One soliton Two solitons Wrong sech width Sine period Start calculation.

Reset.

You can see how the plot is constructed in the HTML source:

• *** link to js fft thing and wikiwaves ***

Posted 2016-12-**.