Discrete mKdV Equation via Darboux Transformation
نویسندگان
چکیده
Abstract We introduce an efficient route to obtaining the discrete potential mKdV equation emerging from a particular motion of planar curves.
منابع مشابه
Darboux and Binary Darboux Transformations for Discrete Integrable Systems. II. Discrete Potential mKdV Equation
The paper presents two results. First it is shown how the discrete potential modified KdV equation and its Lax pairs in matrix form arise from the Hirota–Miwa equation by a 2-periodic reduction. Then Darboux transformations and binary Darboux transformations are derived for the discrete potential modified KdV equation and it is shown how these may be used to construct exact solutions.
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ژورنال
عنوان ژورنال: Mathematical Physics Analysis and Geometry
سال: 2021
ISSN: ['1572-9656', '1385-0172']
DOI: https://doi.org/10.1007/s11040-021-09398-y