Vector semirational rogue waves for a coupled nonlinear Schrodinger system in a birefringent fiber

Under investigation in this paper is a coupled nonlinear Schrodinger system with the four-wave mixing term, which describes the propagation of optical waves in a birefringent fiber. Via the Darboux dressing transformation, the semirational solutions which give rise to the vector rogue waves and breathers are obtained. We display the vector rogue waves and the interaction between the rogue waves and bright dark solitons. During the interaction, breather-like structures arise because of the interference between the dark and bright components of the soliton. Besides, it can be observed that the rogue wave and soliton merge together. Interactions between the breathers and bright dark solitons are shown graphically. Keeping vertical bar alpha(1)vertical bar(2)a +vertical bar alpha(2)vertical bar(2)c + b alpha(1)alpha(2)* + b*alpha(1)*alpha(2)* invariant, we find that the smaller value of ac -vertical bar b vertical bar(2) yields the more obvious breather-like structure, with a and c representing the self- and cross-phase modulations, respectively, b representing the four-wave mixing effect, al and cez being two constants. Similarly, keeping ac ac -vertical bar b vertical bar(2) invariant, we find that the smaller value of vertical bar alpha(1)vertical bar(2)a +vertical bar alpha(2)vertical bar(2)c + b alpha(1)alpha(2)* + b*alpha(1)*alpha(2)* yields the more obvious breather-like structure. Bound state forming between the Kuznetsov-Ma soliton and breather-like structure is illustrated. (C) 2018 Elsevier Ltd. All rights reserved.