Pakdemirli M.Yurusoy M.2024-07-222024-07-2220001300686Xhttp://akademikarsiv.cbu.edu.tr:4000/handle/123456789/20499Two 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.EnglishAll Open Access; Gold Open AccessAlgebraApproximation theoryDifferential equationsEquations of motionPerturbation techniquesProblem solvingApproximate symmetriesLine group theoryQuadratic nonlinearityWave equationsArticle10.3390/mca5020179