A variety of novel traveling wave solutions to Fokas-Lenells model by two novel integration schemes

The presented work investigates the Fokas-Lenells equation, which accurately explains pulse propagation in optical fibers. The anticipated target is accomplished by simplifying the Fokas-Lenells equation with the help of traveling wave transformation and then addressing the obtained ordinary differential equation by utilizing two novel techniques namely, Jacobi elliptic function expansion method and two variables \(\left( \frac{G'}{G},\frac{1}{G}\right) \) $\left(\frac{G^{\prime }}{G},,,\frac{1}{G}\right)$ -expansion method. The acquired solutions are portrayed with the help of 3D graphics and the corresponding 2D contour plots. The obtained results indicate that both suggested schemes are productive to retrieve traveling wave solutions for many nonlinear evolution equations arising in mathematical physics.