Nonlocal pseudosymmetries and Bäcklund transformations as $\mathcal{C}$-morphisms

Diego Catalano Ferraioli, Tarcísio Castro Silva

In this paper, we show how factorisation with respect to nonlocal pseudosymmetries allows one to obtain Bäcklund transformations, interpreted as nonlocal $\mathcal{C}$-morphisms of…