3. Suppose there exists an infinite one-dimensions system satisfying the following dispersive wave equation ψ U2...
1. Suppose there exists an infinite one-dimensional system satisfying the dispersion relation w(k)ak2 where a is a constant. Suppose at t 0 the wave is composed entirely of Fourier components traveling -HA Rekoj where A and I are to the right (a "running" wave) and the wave function is ψ(x,0) constants and kol »1. 1+(x/e) (a) Show that at a later time (and in particular at a time which is not so much later that the shape of the pulse...