Dromion solutions of noncommutative Davey–Stewartson equations

Abstract

We consider a noncommutative version of the Davey–Stewartson equations and derive two families of quasideterminant solution via Darboux and binary Darboux transformations. These solutions can be verified by direct substitution. We then calculate the dromion solutions of the equations and obtain computer plots in a noncommutative setting.