The Universal Gaussian in Soliton Tails
patt-sol
2009-10-31 v1 Pattern Formation and Solitons
Abstract
We show that in a large class of equations, solitons formed from generic initial conditions do not have infinitely long exponential tails, but are truncated by a region of Gaussian decay. This phenomenon makes it possible to treat solitons as localized, individual objects. For the case of the KdV equation, we show how the Gaussian decay emerges in the inverse scattering formalism.
Keywords
Cite
@article{arxiv.patt-sol/9803003,
title = {The Universal Gaussian in Soliton Tails},
author = {David A. Kessler and Jeremy Schiff},
journal= {arXiv preprint arXiv:patt-sol/9803003},
year = {2009}
}
Comments
4 pages, 2 figures, revtex with epsf