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I was wondering if anyone is familiar with using the Inverse Scattering Transform to solve some kinds of non-linear differential equations.

I have been trying to look up examples of solving non-linear differential equations using the inverse scattering transform, but all the websites I find seem not to give any specific clear examples illustrating how to use the IST transform technique.

I was wondering if anyone could explain what the inverse scattering transform is, and a quick example that illustrates its use? Any help would be most appreciated. Thank you.

Edwin

p.s. I have a BS in mathematics, and so have some familiarity with PDE's, and ODE's from my schooling if that helps.

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# How do you use the inverse scattering transform?

Can you offer guidance or do you also need help?

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