An explicit nonlinear transformation relating solutions of the Korteweg‐de Vries equation and a similar nonlinear equation is presented. This transformation is generalized to solutions of a one‐parameter family of similar nonlinear equations. A transformation is given which relates solutions of a ``forced'' Korteweg‐de Vries equation to those of the Korteweg‐de Vries equation.

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,
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M. D. Kruskal, “Asymptotology in Numerical Computation: Progress and Plans on the Fermi‐Pasta‐Ulam Problem” in Proceedings of the IBM Scientific Computing Symposium on Large‐Scale Problems in Physics (IBM Data Processing Division, White Plains, N.Y., 1965), p. 43.
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7.
This program of research has been conducted mainly by C. S. Gardner, J. M. Greene, M. D. Kruskal, C.‐H. Su, and the author at the Plasma Physics Laboratory, Princeton University, Princeton, N.J., and by N. J. Zabusky at the Bell Telephone Laboratories, Inc., Whippany, N.J. Specific individual contributions will be reflected in the authorship of the various papers.
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11.
I am grateful to C. S. Gardner for this generalization.
12.
This equation does not appear in the paper by Washimi and Taniuti because they failed to account for the arbitrary integration “constant” yt(t) in their solution relating the first‐order electron density and ion velocity. This has been corrected in a recent paper,
T.
Taniuti
and
C.‐C.
Wei
,
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24
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(
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S. H. Lam and C. Berman, Department of Aerospace and Mechanical Sciences, Princeton University (private communication).
14.
F. K. Moore, “Unsteady Laminar Boundary‐Layer Flow,” National Advisory Committee for Aeronautics, Tech. Note 2471, September 1951.
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