Complexiton and interaction solutions of the (1+1)-dimensional sixth-order Ramani equation

This study shows the attainability of solutions to the sixth-order Ramani equation through a procedure called the simplified Hirota method, which can be thought of as a special case of the Hirota direct method. This special case comes into sight by virtue of the transition between real and complex parameters. In this procedure, dispersion relations and phase shifts play a decisive role in finding solutions. Particularly, chosen cases of phase shifts provide us different kinds of solutions, such as soliton, complexiton, and interaction solutions.