Soliton, hyperbolic function, and trigonometric function solutions for (2+1)-dimensional coupled Burgers equation

Abstract

In this work, the modified simple equation method, the (G^'/G)-expansion method, the two variables (G^'/G,1/G)-expansion method, and tan(ϕ/2)-expansion method have been applied to extract new kink soliton, singular soliton, hyperbolic function, and trigonometric function solutions of the (2+1)-dimensional coupled Burgers equation. Comparisons of results and the efficiency of the methods have been discussed.

Keywords: (2+1)-dimensional coupled Burgers equation, the modified simple equation method, the (G^'/G)-expansion method, the two variables (G^'/G,1/G)-expansion method, tan(ϕ/2)-expansion method, Solitons.