Traveling wave solutions of the two-dimensional Konopelchenko-Dubrovsky equation

Abstract

In this study, the (2+1)-dimensional system of Konopelchenko-Dubrovsky is studied. This equation extends the Korteweg-de Vries(KdV) equation, that describes the evolution of small amplitude dispersion waves generated in shallow water. The tan-cot method is applied to receive the traveling wave solutions. It is presented that the tan-cot method is a useful mathematical tool for obtaining analytical solution to the equations of mathematical physics. In the figures, the graphs of the obtained solutions are shown