4. Graphical analysis of the obtained optical solutions
In this section, physical descriptions of some of the acquired optical wave solutions to the KMN equation via the gKM and NAEM with integer order, fractional order and considering wave obliqueness condition are explained graphically. Twelve valid analytic optical solutions are attained by the gKM and forty-eight valid analytic optical solutions are obtained by the NAEM. But, a few numbers of the representative solutions obtained by the methods of interest are explained for the sake of brevity.