Discrete mKdV equation via Darboux transformation
We introduce an efficient route to obtaining the discrete potential mKdV equation emerging from a particular discrete motion of discrete planar curves.
nlin.SI↗
arXiv subjects
Tomoya Seno
Publications and source records attributed to Tomoya Seno.
Infinitesimal Darboux transformation and semi-discrete mKdV equation
We connect certain continuous motions of discrete planar curves resulting in semi-discrete potential Korteweg-de Vries (mKdV) equation with Darboux transformations of smooth planar curves. In doing so, we define infinitesimal Darboux transformations that include the aforementioned motions, and also give an alternate geometric interpretation for establishing the semi-discrete potential mKdV equation.
math.DG↗