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):

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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Question Posted: Jan 17, 2024 03:00 AM

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

Question:

4u+ Uxxx +12uux = 0

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Hence In Exercise 68 we found the following derivatives ux 2 sechx t t...View the full answer

Calculus

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