Similarity reduction, nonlocal and master symmetries of sixth order Korteweg–deVries equation

Abstract

A systematic investigation to derive the Lie point symmetries, nonlocal and master symmetries of sixth order Korteweg–de Vries equation (KdV6) is presented. Using the obtained point symmetries, similarity reductions are derived and constructed their particular solutions wherever possible. It is shown that KdV6 admits infinitely many nonlocal and master symmetries. The existence of infinitely many master symmetries ensures that KdV6 is completely integrable.