The prolongation structure of Wahlquist and Estabrook is interpreted as a connection. In this way, some geometric insight might be provided for the description of those nonlinear partial differential equations which admit soliton solutions. A new geometric property---linked to the existence of an SL(2, R) connection---is proved for the solutions of the Korteweg-de Vries equation.
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Róbert Hermann (1976) studied this question.
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