New single traveling wave solution in birefringent fibers or crossing sea waves on the high seas for the coupled Fokas-Lenells system

The main work of this paper is focused on construction the single traveling wave solution of the coupled Fokas-Lenells system,which is usually used to simulate the propagation of ultrashort optical pulses in birefringent fibers or crossing sea waves on the high seas.Firstly,the coupled Fokas-Lenells system is simplified into a nonlinear ordinary differential equation by traveling wave transformation and linear transformation.Then,using the well-known complete discriminant system of third-order polynomials,some single traveling wave solutions of the coupled Fokas-Lenells system are obtained including implicit solutions,rational function solutions and Jacobian function solutions.