Show that u(x, t) = sech 2 (x t) satisfies the KortewegdeVries equation (which arises in

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Show that u(x, t) = sech2(x − t) satisfies the Korteweg–deVries equation (which arises in the study of water waves):

4u+ uxxx +12uux = 0

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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