A Darboux Transformation for Ito Equation

作者:Niu, Xiaoxing; Zhang, Mengxia*; Lv, Shuqiang
来源:Zeitschrift fur Naturforschung Section A-A Journal of Physical Sciences, 2016, 71(5): 427-431.
DOI:10.1515/zna-2016-0004

摘要

A system proposed by Ito is reconsidered. The corresponding Darboux transformation is presented explicitly. The resulted Backlund transformation is shown to be equivalent to the one found by Hirota. Also, a non-linear superposition formula, which is of differential-algebraic, is obtained.