DYNAMICAL ANALYSIS OF THE SOLITON SOLUTIONS FOR THE NONLINEAR FRACTIONAL AKBOTA EQUATION

In this work, the nonlinear fractional Akbota equation is explored with a conformable fractional derivative, which is an important physical model in optics and magnetism. Some new soliton solutions and periodic solutions are acquired by adopting three efficient mathematical techniques, which are called modified fractional sub-equation method, fractional auxiliary equation approach and fractional ansatz method. We sketch some 3D and 2D graphs of the acquired solutions to describe their dynamic characteristics with proper parameters.