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(a) Show that the sine-Gordon equation U xx - U = sinu is invariant under the transformations x = m(x - Ut) and i =

(a) Show that the sine-Gordon equation U xx - U = sinu is invariant under the transformations x = m(x - Ut) and i = m(x - Ut) where m = (1-U2 ) 2 and -1

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