Pakdemirli M.Yurusoy M.2025-04-102025-04-102000http://hdl.handle.net/20.500.14701/53321Two different approximate symmetry methods and a proposed new one are contrasted using a wave equation with quadratic non-linearity. For each method, the approximate symmetries are calculated first. Then approximate solutions corresponding to some of the symmetries are calculated. It is found that a given specific approximate solution is attainable only by using the new proposed method.Article10.3390/mca5020179