Exact propagating dromion-like localized wave solutions of generalized (2+12+1)-dimensional Davey–Stewartson equations

The capacity of the double-Exponential (Exp) function method as an alternative approach to obtain the analytic solutions of higher dimensional coupled nonlinear partial differential equations in Engineering mathematics has been revealed. We employ the double-Exp method aided with symbolic computation to construct dromion-like localized solutions for a (2+1)(2+1)-dimensional generalized Davey–Stewartson (2DGDS) system of equations governing the dynamics of weakly nonlinear modulation of a lattice wave packet in a multi-dimensional lattice. The multidromion-like solutions obtained by the present approach are more general than those obtained earlier.