A Study on the Two Forms of (2+1)-Fractional Order Burgers Equation

Abstract

This study examines the dynamics of two forms of (2+1)-dimensional fractional order Burgers equation, a paramount structure within the realm of nonlinear fractional calculus. The main objective is to acquire solutions for this equation through the application of the singular manifold (SM) method. The study successfully derives diverse solutions corresponding to varied fractional orders. Additionally, multiple-kink solutions are systematically derived and illustrated with graphical representations to highlight their intrinsic physical properties. Overall, the results demonstrate the effectiveness and reliability of the SM method in yielding precise solutions for the two forms of (2+1)-dimensional fractional order Burgers equation.