Abstract
Cyclic soliton solutions of nonlinear Schrödinger equation could be found numerically. When they propagate through a medium with piecewise constant dispersion coefficient, the pulse width change in each segment is linearly proportional, but at different rate, to distance travelled. The overall pulse width change over a distance between two points is found to be the same as if the average dispersion coefficient is used. Applying these findings to light from cosmic sources, it can be concluded that electromagnetic wave theory based on nonlinear Schrödinger equation is the principal mechanism underlining the linear redshift-distance relation found is astronomy.
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