The application of (2+1)-dimensional coupled nonlinear Schrödinger equations with variable coefficients in optical fibers

Abstract In this paper, (2+1)-dimensional coupled nonlinear Schrodinger equations with variable coefficients are studied, which describe beams propagation with consideration of components in the two polarized directions in inhomogeneous and nonlinear birefringent fibers. Spatial vector one-soliton and two-soliton solutions are obtained by Hirota bilinear method and a different transformation. Intensity functions are obtained by assigning the characteristic parameters, and intensity images of soliton are numerically analyzed by Maple. Propagation characteristics of soliton and the influence of diffraction effect and nonlinear effect on soliton propagation are analyzed. Finally, images of rogue wave solutions are obtained and marked features of rogue waves are described. Spatial soliton solutions obtained in this paper have great practical significance for stable propagation of pulse.