On approximate symmetries of a wave equation with quadratic nonlinearity
Summary: Two different approximate symmetry methods and a proposed new one are contrasted using a wave equation with quadratic nonlinearity. 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.
scientific article; zbMATH DE number 1545880