This paper discusses the propagation characteristics of astigmatic mixed-pattern solitons in strongly nonlocal nonlinear media. From the initial expression of the astigmatic mixed-pattern soliton, it is found that the propagation pattern of solitons can be divided into three different cases: oval type, two-petal type and four-petal type. We further derive the beam propagation expression, and solve the analytical expressions of the intensity, beam width, power and curvature of the soliton. Through numerical simulation, we made a series of graphs and carried on the necessary elaboration. The propagation dynamics are described emphatically and the propagation characteristics are discussed in detail.
Complex-variable-function Gaussian beam in strongly nonlocal nonlinear media