Exact Analytical Solutions for Nonlinear Systems of Conformable Partial Differential Equations Via an Analytical Approach

Abstract

Many numerical and analytical methods have been developed for solving Partial Differential Equations (PDEs) and conformable PDEs, most of which provide approximate solutions. Exact solutions, however, are vitally important in the proper understanding of the qualitative features of the concerned phenomena and processes. This paper introduces an effective analytical approach for solving nonlinear systems of conformable space-time PDEs. Moreover, the convergence theorem and error analysis of the proposed method are also shown. An essential benefit of this paper is that it yields exact analytical solutions for some nonlinear dynamical systems of conformable space-time PDEs. The Graphical representations of solutions are shown to confirm the accuracy and efficiency of the suggested method.