Nonlocal pseudosymmetries and Bäcklund transformations as $\mathcal{C}$-morphisms
Diego Catalano Ferraioli, Tarcísio Castro Silva
公開日: 2025/6/2
Abstract
In this paper, we show how factorisation with respect to nonlocal pseudosymmetries allows one to obtain B\"acklund transformations, interpreted as nonlocal $\mathcal{C}$-morphisms of differential equations. According to this approach, which is illustrated through several examples, the B\"acklund transformations are determined by basic invariants of the exploited nonlocal pseudosymmetries.