Bifurcations and multiple optical solitons for the dual-mode nonlinear Schrodinger equation with Kerr law nonlinearity

The main attention of this work focuses on dynamical behavior and optical solitons for the dual-mode nonlinear Schrodinger equation with Kerr law nonlinearity. Here, we analytically constructed dark soliton solutions and singular soliton solutions through the bifurcation method of dynamical system. What is more, some other soliton solutions which include rational function solutions and many families of Jacobian elliptic solutions have been derived with the help of the complete discriminant method and symbolic computation. It is notable that we consider the more general case of alpha not equal beta of Eq. (1.1) compared with Jaradat et al. (2018). The obtained solutions may improve or complement previous results. These soliton solutions may motivate us to explore new complex physical phenomena in this system.