Dark optical solitons to the Biswas–Arshed equation with high order dispersions and absence of the self-phase modulation

A new model referred to as the Biswas–Arshed (BA) equation with high order dispersions for soliton transmission through optical fibers in which the self-phase modulation is fully absent is investigated, in the current article. In this respect, by using an ansatz in the complex form and distinguishing the real and imaginary parts, the resulting nonlinear ODE in the real domain is solved by the exp_a-function method and the symbolic computation system. As a consequence, a number of optical dark soliton solutions along with their dynamical behaviors to the BA equation are formally constructed.