Higher dimensional Darboux transformations
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2018.04.031
Abstract: Abstract We give conditions for a first order partial differential operator to serve as an n-dimensional Darboux transformation between two second-order partial differential operators. We show that some of these conditions are given by first… read more here.
Keywords: order; partial differential; darboux; darboux transformations ... See more keywords
Supersymmetric Sawada-Kotera Equation: Bäcklund-Darboux Transformations and Applications
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Nonlinear Mathematical Physics"
DOI: 10.1080/14029251.2018.1494779
Abstract: In this paper, we construct a Darboux transformation and the related Bäcklund transformation for the super-symmetric Sawada-Kotera (SSK) equation. The associated nonlinear superposition formula is also worked out. We demonstrate that these are natural extensions… read more here.
Keywords: sawada kotera; darboux; cklund; supersymmetric sawada ... See more keywords