Computational method to solve Davey-Stewartson model and Maccari's system

Abstract

In this article, Computer algebra systems and the Riccati-Bernoulli sub-ODE method are efficiently utilized to solve Davey-Stewartson and Maccari's systems. We successfully obtained the set of new exact solutions for these systems using the computer algebra MAPLE system. For the validity of acquired solutions, the constraint conditions are given. To investigate the behavior of these solutions, graphical representations of the derived solutions are provided under suitable parameter values.