Coherent superposition propagation of Laguerre–Gaussian and Hermite–Gaussian solitons

Abstract

In this work, we mainly investigate the propagation of the superimposed field of Laguerre–Gaussian and Hermite–Gaussian solitons in nonlocal nonlinear Schrödinger equation. The propagation expression is obtained and the propagation properties are analyzed. The results show that the propagation properties of the superimposed field are closely related to the input power and the characteristic parameters. For different input powers, the superimposed field will show periodic changes of broadening or compression while propagating. Different characteristic parameters determine which soliton occupies the dominant position in propagation.