Abstract
In this paper, the newly derived solutions for the optical soliton of Kerr law nonlinearity form of Biswas-Arshed model are investigated. The exact solutions are extracted by deploying two different novel methods namely, (m + (G'/G))-expansion method and Riccati-Bernoulli sub-ODE method. Furthermore, in different conditions, the resultants show different wave solutions like singular, kink, anti-kink, periodic, rational, exponential and dark soliton solutions. Also, the dynamics of the attained solutions are presented graphically.