In this paper we present a vectorial Darboux transformation, in terms of ordinary determinants, for the supersymmetric extension of the Korteweg-de Vries equation proposed by Manin and Radul. It is shown how this transformation reduces to the Korteweg-de Vries equation. Soliton type solutions are constructed by dressing the vacuum and we present some relevant plots. On leave of absence from Bei...

In this paper, the non-local reverse space−time fifth-order non-linear Schrödinger(NLS) equation has been investigated, which is proposed by reduction of Ablowitz–Kaup–Newell–Segur (AKNS) scattering problems. The determinant representation Nth Darboux transformation for NLS obtained. Some interesting wave solutions, including soliton, complexiton, and rogue are derived transformation. Moreover,...