The alternative ðG0
=GÞ-expansion method has been further modified by introducing the
generalized Riccati equation to construct new exact solutions. In order to illustrate the novelty and
advantages of this approach, the general Sawada–Kotera (GSK) equation is considered and abundant new exact traveling wave solutions are obtained in a uniform way. These solutions may be
imperative and significant for the explanation of some practical physical phenomena. It is shown
that the modified alternative ðG0
=GÞ-expansion method is an efficient and advance mathematical
tool for solving nonlinear partial differential equations in mathematical physics.