Infinitesimal Darboux transformation and semi-discrete MKDV equation
نویسندگان
چکیده
Abstract We connect certain continuous motions of discrete planar curves resulting in semi-discrete potential Korteweg–de Vries (mKdV) equation with Darboux transformations smooth curves. In doing so, we define infinitesimal that include the aforementioned motions, and also give an alternate geometric interpretation for establishing mKdV equation.
منابع مشابه
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ژورنال
عنوان ژورنال: Nonlinearity
سال: 2022
ISSN: ['0951-7715', '1361-6544']
DOI: https://doi.org/10.1088/1361-6544/ac591f