Complex wave surfaces to the Biswas-Arshed equation with high order dispersions and absence of self-phase modulation

In this paper, we apply an analytical method, namely, the sine-Gordon expansion method and extract some complex optical soliton solutions to the higher order dispersions and absence of self-phase modulation. We obtain some complex mixed-dark and bright soliton solutions to this nonlinear model. The analytical solutions have different physical structures and they are graphically analyzed in order to show their dynamical behavior by means of ۲D, ۳D and contour plots. It is shown that Sine-Gordon expansion method provides us with a powerful mathematical tool for solving nonlinear partial differential equations in mathematical physics.

Keywords:

Biswas-Arshed equation , Complex hyperbolic , Solitary wave solution , Sine-Gordon expansion method