Problem

Show that the Korteweg-deVries equation corresponds to the field equation for a scalar fie...

Show that the Korteweg-deVries equation corresponds to the field equation for a scalar field ψ with Lagrangian density

where the subscripts indicate derivatives with respect to the variables indicated, provided ψ is a potential function for the quantity ϕ of Eq. (13.117):

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Solutions For Problems in Chapter 13

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