The linearized KdV equation is ut +uxxx =0. Solve it by
Chapter 14, Problem 10(choose chapter or problem)
The linearized KdV equation is ut +uxxx =0. Solve it by Fourier transformation with the initial condition u(x,0)= (x), assuming appropriate decay as x . Write the answer in terms of the Airy function A()= eik+ik3/3 dk 2assuming this integral makes sense.
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