The application of generalized coupled higher-order nonlinear Schrödinger equations with variable coefficients in optical fibers

Nonlinear Schrödinger equation is mathematical model, which describes the transmission of ultra-short pulse in single-mode fiber. However the propagation of femtosecond pulse with high peak power in birefringence fibers and inhomogeneous media is described by the generalized coupled higher-order nonlinear Schrödinger equations with variable coefficients. A new transformation is presented and new forms of one-soliton solutions and two-soliton solutions are obtained by Hirota bilinear method in this paper. Assigning the characteristic parameters of solutions can get the corresponding intensity functions, which are numerically simulated by Maple. Thus we can analyze the characteristics of the solitons in the process of transmission. According to parameter values, we derive that soliton can steadily propagate, when the group-velocity dispersion effect and nonlinear effect get balanced. Optical soliton communication system can obtain high speed, large capacity and long distance. The new forms of solutions in this paper have great practical significance for the propagation of optical pulse.