What is it about?
A system proposed by Ito is reconsidered. The corresponding Darboux transformation is presented explicitly. The resulted Bäcklund transformation is shown to be equivalent to the one found by Hirota. Also, a nonlinear superposition formula, which is of differential-algebraic, is obtained.
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Why is it important?
A nonlinear superposition formula, which is of differential-algebraic, is obtained.
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This page is a summary of: A Darboux Transformation for Ito Equation, Zeitschrift für Naturforschung A, May 2016, De Gruyter,
DOI: 10.1515/zna-2016-0004.
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