/Korteweg-deVries-KdV-Equation-Solution

Pseudo-spectral method was employed to numerically solve KdV equation

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Korteweg-deVries (KdV) Equation Solution

The code is to reproduce the results in the paper ‘Interaction of “Solitons” in a Collisionless Plasma and the Recurrence of Initial States’ by N. J. Zabusky and M. D. Kruskal (1965). A linearly explicit pseudo-spectral method was used.

Solution Animation

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Method and Algorithm

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