Travelling wave solutions of nonlinear conformable analytical approaches

The presented study deals with the investigation of nonlinear Bogoyavlenskii equations with conformable time-derivative which has great importance in plasma physics and non-inspectoral scattering problems. Travelling wave solutions of this nonlinear conformable model are constructed by utilizing two powerful analytical approaches, namely, the modified auxiliary equation method and the Sardar sub-equation method. Many novel soliton solutions are extracted using these methods. Furthermore, 3D surface graphs, contour plots and parametric graphs are drawn to show dynamical behavior of some obtained solutions with the aid of symbolic software such as Mathematica. The constructed solutions will help to understand the dynamical framework of nonlinear Bogoyavlenskii equations in the related physical phenomena.