Travelling wave solutions of nonlinear equations using the Auxiliary Equation Method

In this paper we obtain travelling wave solutions of nonlinear partial differential equations starting from a different reducible hyper elliptic equation as an auxiliary equation which does not appear in any other paper. We point out that all the cases, to our knowledge, considered in the literature are included in this paper, so our work exhausts all the reducible cases of the hyper elliptic equation to genus one.