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I am attempting to model soliton formation numerically. The solitons will be formed by moving a body of some sort through a shallow channel of water with the free surface subject to atmospheric pressure.

My goal would be to numerically predict wave amplitudes, wavelengths, velocities etc.

I have read a bit about the Korteweg-de Vries equation however I have no idea where to start in terms of solving it to find the desired unknowns.

Could someone please help shed some light on where to start?

Thanks

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# KdV Equation - Modelling Soliton

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