Optical solitons in birefringent fibers with the generalized coupled space–time fractional non-linear Schrödinger equations

The nonlinear Schrödinger (NLS) equation is an ideal model for describing optical soliton transmission. This paper first introduces integer-order generalized coupled NLS solitons in birefringence fibers. Secondly, the semi-inverse and fractional variational method used to extend integer?order space–time order. Moreover, various forms of equations are discussed, including Kerr, power, parabolic, dual-power, log law. exact solutions, such as bright, dark, singular solitons, given. Finally, behavior solution shown by three-dimensional figures with different orders, which reveals propagation characteristics fibers described equation.