Vector semirational rogue waves for the coupled nonlinear Schrödinger equations with the higher-order effects in the elliptically birefringent optical fiber

Under investigation in this paper are the coupled nonlinear Schrödinger equations with the higher-order effects arising from the elliptically birefringent optical fiber. We show the existence and properties of the analytic vector rational solutions and semirational rogue-wave solutions via the Darboux dressing transformation. Those solutions include the vector Peregrine solutions, bright- and dark-rogue-wave solutions, and breather-like pulses with rogue-wave solutions. We observe that the breather-like pulses may be generated because of the superposition of the dark and bright contributions in each of the two wave components. Peregrine and dark–bright solitons can separate when we decrease the value of |f |. On the contrary, Peregrine and dark–bright solitons can combine without the Peregrine lump identifiable when we increase the value of |f |.