Publications of the Research Institute for Mathematical Sciences
Online ISSN : 1663-4926
Print ISSN : 0034-5318
Some Remarks on the Modified Korteweg-de Vries Equations
Shunichi Tanaka
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1972 Volume 8 Issue 3 Pages 429-437

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Abstract
In Section 1 we associate certain linear differential operators to modifications of the KdV equation. An interpretation is given to the non-linear transformation of Miura [4] which converts a solution of one of modified KdV equations into that of the KdV equation.
In Section 2 we construct a family of special solutions of another modification of the KdV equation.
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