paper

The myth about nonlinear differential equations

arXiv:nlin/0206048

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.

5 pages, no figures; corrected for post-script file problem

The myth about nonlinear differential equations · wovepaper