Constructing solutions of the mKdV-equation

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Abstract

Using commutation methods (i.e., N = 1 supersymmetry) underlying Miura's transformation, an explicit construction of solutions of the modified Korteweg-de Vries equation, given a solution of the (ordinary) Korteweg-de Vries equation, is provided.

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Partially supported by USNSF under Grant DMS-8416049. Max Kade Foundation Fellow. On leave of absence from the Institute for Theoretical Physics, University of Graz, A-8010 Graz, Austria. Present address: Department of Mathematics, University of Missouri, Columbia, MO 65211.

Partially supported by USNSF under Grant DMS-8416049.