The myth about nonlinear differential equations

Details The myth about nonlinear differential equations The myth about nonlinear differential equations

2002-06-28

arxiv.org/abs/nlin/0206048v2

Nonlinear Sciences

Pattern Formation and Solitons

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

Scientific paper

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.

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