The myth about nonlinear differential equations
Pattern Formation and Solitons
2007-05-23 v2
Abstract
Taking the example of Koretweg--de Vries equation, it is shown that soliton solutions need not always be the consequence of the trade-off between the nonlinear terms and the dispersive term in the nonlinear differential equation. Even the ordinary one dimensional linear partial differential equation can produce a soliton.
Cite
@article{arxiv.nlin/0206048,
title = {The myth about nonlinear differential equations},
author = {C. Radhakrishnan},
journal= {arXiv preprint arXiv:nlin/0206048},
year = {2007}
}
Comments
5 pages, no figures; corrected for post-script file problem