Propagation Characteristics of Higher-Order Mixed-Pattern Solitons in Nonlinear Media

In this paper, we study the propagation and evolution of higher-order mixed-pattern solitons in nonlinear media with a strong nonlocality. The propagation analytic formula of higher-order mixed-pattern solitons is derived and discussed in detail. Taking the fourth-order mixed-pattern solitons as an example and based on numerical calculations, we present the variations of second-order moment beam width, the light intensity, and the wavefront curvature. We show that the propagation evolution exhibits unique characteristics depending on different relative factors of higher-order mixed-pattern solitons. The influence of the beam order on the propagation evolution is also discussed.