On the periodic wave solutions of the (2+1)-D Konopelchenko-Dubrovsky equation in fluid mechanics

The central orientation of this work is to plumb the (2+1)-D Konopelchenko-Dubrovsky equation that is utilized widely to describe certain non-linear phenomena in the field of the fluid mechanics. Two effective methods namely the variational method and the energy balance theory are employed to construct the periodic wave solutions. As predicted, the results extracted by these two approaches are almost identical, which is anticipated to offer some new viewpoints to the exploration of the periodic wave theory in physics.