In this research work, we successfully construct various kinds of exact traveling wave solutions such as trigonometric like, singular and periodic wave solutions as well as hyperbolic solutions to the (2+1)-dimensional Chiral nonlinear Schroginger equation (CNLSE) which is used as a governing equation to discuss the wave in the quantum eld theory. The mechanisms which are used to obtain these solutions are extended rational sine-cosine/sinh-cosh and the constraint conditions for the existence of valid solutions are also given. The attained results exhibit that the proposed techniques are a signi cant addition for exploring several types of nonlinear partial di erential equations in applied sciences. Moreover, 3D, 2D-polar and contour pro les are depicted for showing the physical behavior of the reported solutions by setting suitable values of unknown parameters.
