Nonlinear Sciences, Pattern Formation and Solitons, Pattern Formation and Solitons (nlin.PS), Exactly Solvable and Integrable Systems (nlin.SI)
We investigate linear interference of a plane wave with different localised waves using coupled Fokas-Lenells equation(FLE) with four wave mixing (FWM) term. We obtain localised wave solution of the coupled FLE by linear superposition of two distinctly independent wave solutions namely plane wave and one soliton solution & plane wave and two soliton solution. We obtain several nonlinear profiles depending on the relative phase induced by soliton parameters. We analyse the linear interference profile under four different conditions on the spatial and temporal phase coefficients of interfering waves. We further investigate the interaction of two soliton solution and a plane wave. In this case we notice that asymptotically, two solitons profile may be similar or different from each other depending on the choices of soliton parameters in the two cases. The results obtained by us might be useful for applications in soliton control, a fiber amplifier, all optical switching, and optical computing. Further we believe that the present investigation would be useful to study the linear interference pattern of other localised waves of FLE.