Sixth order solitary wave equations

In this work, we present higher order solitary wave equations, in particular sixth order. We show how these equations can be derived using fundamental physics laws, such as the Ohm's law. We use the Taylor series expansion and in some cases the Hirota's bilinear operator to obtain these model equations. The sixth order solitary wave equations model different physical problems such as problems in the electrical domain and the propagation of dispersive water waves.