Can the Inverse Scattering Transform Solve PDEs?

saravanan13 · Jan 28, 2010

Can anyone help me to solve the PDE via Inverse Scattering transform method?

kurniliya · Feb 4, 2010

saravanan13 said:

Can anyone help me to solve the PDE via Inverse Scattering transform method?

You can't "solve PDE" via IST. You can solve only the Cauchy problem associated with that PDE using the Inverse Scattering Transform. It's not an easy task to do.
First try checking at these links:
http://en.wikipedia.org/wiki/Inverse_scattering_transform"
http://www.primat.mephi.ru/wiki/ow.asp?Korteweg-de_Vries_equation%2FInverse_scattering_transform"

Can the Inverse Scattering Transform Solve PDEs?

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